Appendix


Calculus Options

GENERAL COMMENTS:
(1) The department offers various sequences in calculus to meet the needs of most students, but in order to be
successful, the student must be willing to study two to three hours of calculus each day.

(2) Students can feel confident in signing up for the strongest class, knowing that a change during the first few weeks is
permitted on a space available basis.  However, a textbook change may be necessary.
(3) Students who are unsuccessful in the 161H, or 190H may invoke Freshmen Forgiveness by substituting a
different course.  Confer with your academic advisor or the Math Advising Office (MA250).
(4) All courses listed here are taught in lecture/recitation format, except for Honors courses.

 

CALCULUS FOR ARCHITECTURE: MATH 117
This course is a survey of calculus for architecture majors. The course is taught in a lecture/recitation format. Differential and integral calculus of polynomial, rational, exponential, logarithmic, and trigonometric functions is presented.


CALCULUS FOR BUSINESS: MATH 130, 131 This sequence is a survey of calculus for business majors. The courses are taught in a lecture/recitation format. Differential and integral calculus of polynomial, rational, exponential and logarithmic functions is presented but trigonometric functions are not included. In addition, math 132 also covers basic multivariable calculus.  The College of Business highly recommends that strong math students take Math 151.xx and 152.xx or higher.


CALCULUS WITH ANALYTIC GEOMETRY: MATH 151.01, 152.01, 153.01, 254.01
This sequence is a traditional, single and multivariable calculus sequence, meeting math requirements in all major areas, such as science and engineering.  The sequence, containing logarithmic, exponential and trigonometric functions, is a more thorough coverage of calculus than the 117 or 131 sequence.  C- or better is necessary to proceed in the sequence.

REFORMED CALCULUS: MATH 151.02, 152.02, 153.02, 254.01

This sequence covers the same material as the regular 151.01 sequence but with more emphasis on understanding the concepts of calculus in a variety of contexts with engineering, physics, economics, and related areas applications. Recitations involve students working in groups.  All majors can benefit from this approach.


BIOLOGICAL CALCULUS WITH ANALYTIC GEOMETRY: MATH 151.03, 152.03
This sequence is the traditional calculus sequence, only with biologically oriented emphasis and applications. Math 151.03 and 152.03 follow the traditional calculus very closely, including being taught in a lecture/recitation format. However, the textbook is different from the one used in the 151.01 sequence.


HONORS ACCELERATED CALCULUS: MATH 161.01H, 162.01H, 263.01H

This sequence (starting Autumn quarter only) is the honors and accelerated version of the 151.01 sequence designed for students with credit for Math 151.xx. These courses are taught daily by faculty members in small classes with considerable student-teacher interaction. Students in this sequence will be exposed to proofs and held to higher standards of mathematical rigor than those in the nonhonors versions. They will be expected to demonstrate mastery of definitions, statements and proofs of theorems. Generally speaking, students who earn a B or better in 161.01H have College Board Advanced Placement AB score of 5, or BC scores of 3, 4 or 5.


HONORS ANALYSIS: MATH 190H, 191H, 264H
This enriched honors calculus sequence (starting Autumn quarter only) is intended to challenge talented, highly motivated students who enter the University already proficient with differential and integral calculus, regardless of their chosen major area of study. This sequence is the most rigorous of the calculus options and is designed to introduce students to the mathematical underpinnings of calculus and stimulate the development of mathematical thinking. This sequence will substitute for Math 151.xx, 152.xx, 153.xx, 254.xx and 551 and also satisfies the upper division analysis requirement (547, 548 and 549) for mathematics majors. The 190H sequence is taught by faculty members in small sections with considerable student-teacher interaction. The texts for these courses and the syllabi are significantly different from those used in the 1251.xx and 1261H sequences.  Generally speaking, students who earn a grade of "B" or better in 190H have either:


1) participated in the College Board Advanced Placement Program and have received a 4 or 5 on the BC exam, or
2) studied calculus in high school and have a Math ACT score > 32 or a Math SAT score > 700.



Honors Opportunities

The Honors Program at The Ohio State University is a unique opportunity to live and learn in a small community of dedicated scholars and students, while at the same time enjoying the advantages of being part of a major research university. Training in mathematics is at the core of any outstanding honors program in engineering, physical, biological or social sciences. With this in mind, the Ohio State Department of Mathematics has developed a unified four-year program of honors courses in mathematics serving the needs of a wide spectrum of honors undergraduate students. Both honors and non-honors students are eligible to enroll in honors math courses.

The foundation of the program is a one-year sequence in the calculus of one and several variables. The Department's appreciation of the varying levels and abilities of entering students is reflected in the availability of two honors sequences at this level. For those who are ready and eager to explore the deeper theoretical underpinnings of the calculus, the department offers the sequence Math 190H-191H-264H. This enriched sequence, which is the most rigorous of the calculus options, is intended to stimulate the development of mathematical thinking. It is designed to challenge talented, highly motivated students who enter the University already familiar with differential and integral calculus, regardless of their chosen major area of study. The typical student has earned a 4 or 5 on the BC Advanced Placement Exam and has a Math ACT score >= 32, or a Math SAT score >= 700.

For those who have demonstrated technical mastery of calculus and who would like deeper insights into some of the theory that makes it all work, we offer the sequence Math 161.01H-162.01H-263.01H. Students in this sequence will be exposed to proofs and held to higher standards of mathematical rigor than those in nonhonors versions. Although not as rigorous as 190H, both of these options assume mastery of differentiation of polynomial and trigonometric functions, and compress the typical four-quarter calculus sequence into three quarters.

Students successfully completing either 263.01H (345 recommended to be taken concurrently with it; permission necessary) or 264H and interested in an in-depth study of the mathematics which forms the mathematical heart-and-soul of chemistry, physics and engineering will want to enroll in the second year sequence: Math 520H-521H-522H. This sequence presents linear algebra, differential equations and complex analysis for honors students. While these courses are theory-and-proof oriented, they do not neglect the fundamental skills needed in scientific applications.  Math 264H also prepares students to take a one-quarter course in Rigorous Probability (Math 531H).  In addition, Math 520H prepares students to take a one-quarter course in Combinatorics (Math 594H).

Successful completion of 520H qualifies a student for either the two-quarter sequence Math 540H - 541H or a sequence in number theory, Math 576H - 577H. Math 540H and 541H are courses on the geometry and topology of n-dimensional spaces and manifolds. This material is key to understanding the world of modern physics and is valuable for students pursuing advanced degrees in mathematics, physics and engineering. The other sequence, 576H - 577H, presents the queen of Mathematics - Number Theory - in its historical development stressing mutually perpetuating bridges between number theory and algebra, geometry, and analysis. These sequences are offered in alternating years. Finally, 520H prepares students for a three-quarter sequence in abstract algebra, Math 590H-591H-592H

Math 590H-591H-592H is a sequence in algebraic theory covering the major structures of groups, rings and fields. This background is a prerequisite to advanced study in mathematics and also provides an understanding of the mathematical language of symmetry and invariants essential to chemistry, quantum physics and electrical engineering. It also provides the context for exploring coding theory, modern electrical engineering and the world of computer and information science.

For students who love the challenge of brain-teasing mathematical problems, we offer two honors problems courses: 187.01H (for students without a calculus background) and 487H (for students with calculus expertise). These courses also serve as a training ground for the national Putnam Exam in Mathematics with the course instructor coaching the Putnam team. They also help prepare students for our in-house Rasor-Bareis-Gordon Math Competition, which is held each February.

All honors courses are taught in small classes (25 or fewer students) with faculty instructors who committed to the needs of each student. Classmates will be among the best students at The Ohio State University, all eager to learn and explore new ideas. Recent honors students have received national recognition for their scholarship by being awarded Barry M. Goldwater Scholarships and/or National Science Foundation Graduate Fellowships. Within this University, our honors majors have been routinely elected to Phi Beta Kappa and earned "Excellence in Scholarship Awards", "President's Salute to Undergraduate Achievement" and other distinctions.

Graduation "With Distinction in Mathematics" may be accomplished by either researching a challenging problem in mathematics under the direction of one of our regular faculty members, or by completing selected graduate level course work. Recent graduates who pursued this option have gone on to successful doctoral studies in mathematics at Harvard, Stanford, University of Chicago, Berkeley, New York University, Michigan and other leading universities.

Undergraduate students can also engage in research activities by participating in one of the Working Groups.  These Working Groups are small groups of faculty and students who are interested in a common research venture.  Undergraduate students work directly with professors on interesting open-ended problems.  Each student will be mentored by a faculty member. By exploring their projects together with together students and faculty, students will not only delve into an active research area but also learn how to work and communicate with others.  In addition, opportunities exist for students to present research papers at various conferences around the country.

Another research opportunity exists with the Mathematical Biosciences Institute (MBI).  The MBI fosters interactions between the biological, medical, and mathematical sciences and offers opportunities for undergraduates to participate in a research project each summer.  MBI receives major funding from the National Science Foundation. Further information on either program can be found at this website http://mbi.osu.edu.  MBI also has an additional opportunity for undergraduates called Research for Undergraduates:  Adventures in Mathematical Biology and its Applications (RUMBA).  RUMBA is an initiative to facilitate undergraduate research at the confluence of mathematics and biology.  OSU undergraduates have the opportunity to participate in activities ranging from enrolling in newly developed coursework to working as an Undergraduate Research Fellow (URF) in an intensive funded research experience.

This is the cornucopia of possibilities available in the Honors Program in Mathematics at the Ohio State University. We hope you will join us and share the honors experience!

For further information, contact:

Professor Vitaly Bergelson, Honors Chair
Department of Mathematics
231 W. 18th Avenue
Columbus, Ohio 43210
(614) 292-1180 or
Mathematics Counselors - (614) 292-6994

Calculus Comparison


Math 131 vs. 151 vs. 151A vs. 151L


Course Lecture/Recit Concepts Groups Applications Software Use
131e yes
some no some none
151 yes some no some Webworks
151A yes more a recitation b more none
151L
yes
somed
a littlec
somed
none



a 151A uses more graphs and tables in addition to standard functions and expressions. 151 places more emphasis on practicing algebraic skills.

b In 151A, group projects are given in break-out sessions in recitation. Students work with each other and use the instructors and other students as instant resources.

c In 151L, some lecture/recitation time will be spent on group projects inspired by naturally occurring biological problems.

d151L is a bioscience-oriented version of 151, and in particular will use biologically-driven examples, many from courses and faculty in the College of Biological Sciences in addition to the biology-tailored text.

e131 is designed for Business majors and is an easier version of any 151 calculus course without the trig functions.

Dropping Back to a Lower Course

Dropping Back to a Lower Course

  • During the first week of the quarter, some math classes quickly review the expected prerequisite material. Students should take these early assignments seriously and be certain they are adequately prepared for the class into which they have placed. If students are having difficulty with the first week's assignments, they should be encouraged to consult with their academic advisor. However, this may not be applicable in the case of honors courses. Honors courses are designed to be challenging from the start. Please give them time and consult with the instructor if there are concerns.

  • During the second and third weeks, students must obtain departmental permission from the Mathematics Course Office, 113 Mathematics Building, to switch to a new course. The Course office will then process a drop/adds online.
It should be noted that, in most cases, the 3rd week drop deadline is prior to the first midterm (which is often administered during the fourth week). As a result, the decision to remain in the course or drop back will be based primarily upon the student's performance on quizzes and homework assignments.

Caution: All students entering a course prior to the first midterm should be cautioned that they will be held accountable for the material that has already been covered and will be expected to take the next regularly scheduled midterm, which will become part of their grade.

  • During the fourth week of the quarter, as a general rule, very few changes are made. Students should go to the Math Course Office, 113 Mathematics Building, for instructions and directions. Students will also need to petition their College Office to make a change after the third week of the quarter. Students who wish to add a course after the third week will be required to take the first midterm for the course that they wish to enter and must receive a satisfactory score to add the course. This test will be advisory only and will not count in course grade. Upon completion of these departmental procedures, students will be directed to their college office to petition to add/drop.
  • As of the fifth week of the quarter, under normal circumstances, no permission will be given to enter a course.
IMPORTANT NOTE: Students who do not have the prerequisite for a course that they are enrolled in will be disenrolled from that course. For example, the course prerequisite for Math 75 is Math 050; if a student received a grade of E in Math 50, that student should not be enrolled in Math 75. In addition, students are strongly advised to repeat any course in which they received a grade of D or D+ because they are unlikely to succeed in the next course. Students must see their advisor to adjust their schedule, if necessary.

Students will need a C- or better in Math 150, 151.xx, 152.xx to be eligible for the next course in the sequence. Students with KD, D, or D+ grades in these courses will be disenrolled from the next course (in the sequence).

Changing Math Sequences

A change of major may necessitate transferring into a different math sequence, and this rerouting may result in the student having to take additional math courses.

Changing to the 130 sequence:

If credit for Math 148 ------>go to 131
*With caution: Students should review functions and cover chapter on math of finance.

The math counselors would encourage the students, who are switching, to take 130 for the additional work with functions in general, and the logarithmic and exponential functions in particular. (This work might have been covered if the student is a transfer student.) Math 130 also covers a chapter on the mathematics of finance (amortization of loans, future value of annuities, etc) which isn't covered in 148. However, students may go directly to Math 131. Any questions on which is the most appropriate course, contact the math counselors.

If completed Math 150 ---------------------------------->go to 131

If completed Math 151.xx ---------------------------------->go to 132

If completed 116, check the student's math placement level

  • if course code R, go to Math 104 (unless already taken)
  • if course code N, go to Math 130

If completed 75, must take 104 before going to 130

 


 

Changing to the 148/150 sequence:

If completed Math 130 with grades of C- or higher ---->go to 150*.
* With caution: students should review right triangle trig on their own.

If completed Math 130 with grades of D or D+ --------->go to 148

If students have credit for 131 or 132 ----------------->go to 150*

If student has completed 116, check math placement results:

  • if course code R, go to Math 104 (unless already taken)
  • if course code N, go to Math 148
If completed 75, must take 104 before going to 148

 

Forgiveness Rule

Forgiveness of Courses

Here are the course equivalents for forgiveness for the special mathematics courses that we offer. Some students may need to complete prerequisite courses before taking the course listed below.  Please check with an academic advisor to see if you need any prerequisite course work. Any questions regarding forgiveness should be addressed to the Math Counselors at 292-6994.

Regular Calculus

Math 151 and 151.xx
->
 forgiven by Math 151.xx
Math 152 and 152.xx
->  forgiven by Math 152.xx
Math 153 and 153.xx
->  forgiven by Math 153.xx
Math 254 and 254.xx ->
 forgiven by Math 254.xx 

 

Engineering FEH Program

Math 161A or 161.02
->
forgiven by Math 151.xx and 152.xx*
Math 162A or 162.02 -> forgiven by Math 153.xx
Math  263A or 263.02
-> forgiven by Math 254.xx



Accelerated Calculus

Math 161.01 or 161.01H -> forgiven by Math 151.xx and 152.xx*
Math 162.01 or 162.01H -> forgiven by Math 153.xx
Math 263.01 or 263.01H -> forgiven by Math 254.xx


Honors Analysis
Math 190H -> forgiven by Math 151.xx and 152.xx*, or 153.xx if EM credit for 152.xx
Math 191H -> forgiven by Math 153.xx
Math 264H -> forgiven by Math 254.xx



*Note:  It is the grade in 152.xx that does the forgiving; however, students must take both 151.xx and 152.xx (unless they have EM credit for 151.xx).

Additional Resources/Services

Resources

  • EXAMINATIONS - Attendance at all midterms and the final is required. Some examinations are departmental common exams given in the evening. The locations of these examinations are announced in class. It is the responsibility of the student to remember the dates, times and locations of all examinations. If in doubt, the student should confirm with the lecturer, T.A., the course office (292-8470), the main office (292-4975), or posted on the bulletin board outside room 113 Mathematics Building.

  • SAMPLE EXAMS and TEXTBOOK TITLES-Review problems and sample exam questions for some courses 148 and below can found online at http://www.math.ohio-state.edu/courses/.

  • PSYCH YOURSELF FOR MATH- Three books, available in paperback at most book stores, are recommended for those suffering from "math anxiety":

    • Mind Over Math - Stanley Kogelman and Joseph Warren
    • Overcoming Math Anxiety - Sheila Tobias
    • Your Numbers Up - Ann Oxrieder and Janet Ray

     

  • SELF STUDY- The Schaum's Outlines for mathematics are an excellent resource for self study. It is possible to begin a review with basic arithmetic and carry it through calculus. These outlines are reasonably priced and are available in the campus area bookstores.

  • A CLASSMATE- Identify someone in the class to work with on assignments.

     

Services

  • OFFICE OF COUNSELING AND CONSULTATION SERVICES- This office provides quarterly workshops on test anxiety, test taking skills, study skills, etc. In addition, they offer general counseling for students experiencing academic and/or emotional difficulties available on a walk-in basis as well as by appointment. The office is located in the new Younkin Success Center on Neil Ave.

  • OFFICE FOR DISABILITY SERVICES (ODS)- This office provides services for students with documented disabilities. These students are provided exam accommodations, adapted equipment and counseling services to assist them in accessing the classroom and the University community. ODS also provides a diagnostic testing service to help students determine if they have a learning disability.

  • MINORITY AFFAIRS- The Office of Minority Affairs may provide tutors for minority students in math courses, Math 050 through Math 153. Students should complete an application form in Student Academic Services Building, 3rd Floor, 281 West Lane Avenue. For additional information, call the Academic Advancement Services Office at 292-8732.

  • COURSE OFFICE - This office can assist in the resolution of students' registration problems in mathematics courses, requests to change to a different section and/or different time, granting permission to add courses (after the first week of classes), resolving missing grades, and providing math exams to the Office of Disability Services. The Course Office is located in 113 Math Building and is open Monday - Friday, from 8:00 a.m. - 5:00 p.m.

Difficulties and Concerns

From time to time throughout the quarter, you may experience unexpected and perhaps sudden difficulties in connection with your mathematics courses. Some difficulties may be attributed to the course content, whereas others may be more difficult to assign. Some of you may feel that fault should be assigned to your instructors or perhaps to the Department of Mathematics in general.

We would like to help you through such difficulties as best we can. Attempt to identify your lecture/homework difficulties and use the office hours of your lecturer and/or recitation teacher to clarify these trouble spots. Many problems can also be alleviated with one-on-one discussions of the content with others in your class. You may also access one of the mathematics tutor rooms which are available to you at no cost. Further, there is a list of private tutors whom you can hire for pay. The list is kept at the receptionist's desk on the first floor of the Mathematics Tower, 231 West 18th Avenue. Finally, the Department has an advising office for additional assistance concerning undergraduate mathematics matters (292-6994).

Remember, if it doesn't seem to be going your way, take an active role in helping yourself. Try to keep abreast of problems as they develop, and try conscientiously to pin-point them. We would encourage you to remember that the first contact for your difficulties or complaints should be the recitation teacher (if applicable), next the lecturer and the third person should be the Vice-chairperson of the Department of Mathematics. For courses 50 through 150 see Dr. Daniel Shapiro, 292-5101 or email shapiro@math.ohio-state.edu. For courses 151.xx and above see Dr. Ulrich Gerlach, 292-5101 or e-mail gerlach@math.ohio-state.edu.

In your University experience, you will encounter a number of accents unlike your own. Give yourself some time to adjust to those accents with patience and tolerance. As you proceed to a professional or work experience after graduation, you will also encounter various accents.

Complaints about serious injustices and mistreatment should be brought to the attention of the departmental ombudsman, Professor Gerlach, 124 Mathematics Tower, 292-5101. You have a duty to yourself and other students to seek a just resolution. Think out your position carefully and put it in writing so that you are sure of your position and how you want to express it. Be specific in your statements and don't exaggerate. We will seek an equitable and rapid resolution.

We wish you all the best in your mathematics class this quarter.

Printable Reference Guide

DEPT. OF MATHEMATICS                   
RESOURCES/SERVICES
   
DIFFICULTIES AND CONCERNS
1. See TA             
2. See Lecturer           
3. See a Math Advisor (MA250)        
4. See Dr. Shapiro (for courses  <= 150)  
124A Math Building     
292-5101        
5. See Dr. Gerlach  (for courses >= 151.xx)   
124B Math Building   
292-5101     

MATH-STAT LEARNING CENTER         
http://www.mslc.ohio-state.edu   


TUTORS FOR HIRE            
List available on the MSLC website.

INSTRUCTIONAL VIDEOS            

Ariel Boehr

 (MSLC), 148B Cockins       

SAMPLE EXAMINATIONS                  
For 50, 75, 104, 130-132, 148, 150,
152.01, 254A online at:
http://www.math.ohio-state.edu/courses.  

MATH COUNSELING OFFICE
250 Math Building (M-R 10-4, F 10-2)
http://www.math.ohio-state.edu/counseling

COURSE OFFICE
113 Math Building
For assistance with students’ math
registration problems.
Monday - Friday, from 8:30 - 4:30.

EXAM ROOM ASSIGNMENTS
posted on a bulletin board outside
113 Math Building, or online at
http://www.math.ohio-state.edu.  

DROPPING BACK
TO A LOWER CLASS
See math advisors




STEPS TO SUCCESS IN MATH

Mathematics is like a sport- 
learned through active participation.

  • Go to class daily!
  • Take class notes
  • Read the syllabus in detail
  • Study math 2 hrs a day
    • Study your class notes
    • Read the textbook
    • Do assignment
    • Work more problems
    • Check your answers
    • Prepare for exam
  • Ask questions in class
  • Seek help often
  • Reread text and class notes
  • Look ahead to next section
  • Keep up with daily assignments
  • Review continually 
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