Welcome to the website for Math 141.01, Calculus I. Here you will find the syllabus and basic policies for the course.

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- 17 January: Review
- 21 January: Symmetry, Geometry, and Definite Integrals
- 23 January: Natural Logarithm
- 25 January: Natural Logarithm: Differentiation
- 28 January: Natural Logarithm: Integration
- 31 January: Natural Exponential: Differentiation
- 1 February: Natural Exponential: Integration
- 8 February: Inverse Trig Functions, Part 1
- 12 February: Inverse Trig Functions, Part 2
- 18 February: Inverse Trig Functions, Part 3
- 20 February: L'Hospital's Rule Part 2
- 25 February: L'Hospital's Rule, part 2
- 27 February: Area, Part 1
- 28 February: Area, Part 2
- 1 March: Volume, Part 1
- 4 March: Volume, Part 2
- 6 March: Arc Length
- 7 March: Integration by Parts
- 18 March: Trigonometric Integrals
- 21 March: Trig Substitution
- 22 March: Partial Fractions
- 28 March: Improper Integrals
- 3 April: Geometric Series
- 5 April: McClaurin Polynomials
- 12 April: McClaurin Series
- 15 April: Power Series
- 18 April: Power Series Examples
- 19 April: Sigma Notation
- 22 April: Intervals of Convergence
- 29 April: Convergence Tests

Calculus is the mathematics of change. In addition to its importance as a field of mathematics, it has applications across virtually all of science and engineering, including physics, chemistry, biology, sociology, psychology, and medicine. There are two main branches of calculus, the differential calculus, which describes rates of change, and the integral calculus, which describes the effects of accumulated change. This course is an focuses on the integral calculus and infinite series.

Math 141 (Calculus I) or equivalent.

MWF 12:30 - 1:20, R 1:30 - 2:20, Bagby 111

Friday, May 3, 2:00 - 5:00.

*Calculus*, ninth edition, by Larson and Edwards (hardcopy, or eBook on WebAssign).

I will be running the course using a web-based system called WebAssign. You should have already received an email from me about signing up for WebAssign. You are required to purchase WebAssign with the online homework system.

A TI-84 or TI-84 Plus graphing calculator is recommended for this course. It very good investment, not only for this course, but for other calculus and statistics courses. I do

not recommend more advanced models such as the TI-89 or TI-92.

- three in-class tests: 50%
- final exam: 30%
- homework/quizzes: 15%
- cultural points: 5%

Three in-class tests will be given. Tentative dates for the tests are

- Test 1 -- Thursday, February 14
- Test 2 -- Thursday, March 21
- Test 3 -- Thursday, April 18

A comprehensive, in-class final exam will be given on Friday, May 3, from 2 until 5 pm.

I will assign homework problems daily. I expect you to do these before the next class period. The first ten minutes of each class meeting is open to discussion of the practice homework problems. Approximately once every two weeks we will have a short quiz. Topics for the quiz will always be announced at least one class meeting in advance. The quizzes will be based on the assigned homework.

Mathematics is one of the oldest of the academic disciplines, and in addition to its intellectual content, it has a rich history and culture. Mathematics culture points ("cults") are awarded for activities which engage with that culture in a substantive, non-trivial way. You may earn cultural points in a variety of ways, such as attending and reporting on a Math/CS colloquium talk, or solving a Math/CS Problem of the Month. In order to receive the full 5% credit for cultural points, you must earn at least 10 cults. Cults are awarded for the following activities:

- Attending a Math/CS colloquium, either at Hampden-Sydney or Longwood (+5)
- Submitting a non-trivial solution to a new Math/CS Problem of the Month, either at H-SC or Longwood (+5)
- Submitting a non-trival solution to a new problem in a Math Journal (+5)
- Presenting a paper or poster at a mathematics conference (+10)

To earn cults for a particular activity, a student must submit a brief write-up (approximately one page, word processed) addressing the following topics:

- A description of the activity and a summary of what the student's participation entailed (e.g. for a colloquium talk this would include a summary of the details of the talk; for a solved problem, this would mean a complete solution to the problem).
- A description of how the specific activity deepened their understanding and appreciation of mathematics, in particular if it connected to their current course material.

Note that all reports must be word-processed. Handwritten reports are not accepted.

The number of cults awarded for a specific activity depends on the quality of the write-up. In grading the cults, you will not receive the full cults score if you do not use proper spelling and grammar in your write-up. If anything is misspelled or if there is at least one instance of improper grammar, you will not receive the full cults score.

You are expected to attend every class. See the Hampden-Sydney College Catalog for the College's policies on class attendance. You assume full responsibility for all

material covered during any absence. A grade of "0" will be assigned for all work missed due to unexcused absences.

You will have ample time to complete any online homework assignments, so I will not accept any late submissions for these. If you are sick on the day of a test or in-class quiz, then you must get in contact with me before the test or quiz is given to arrange a make-up. If you have a legitimate College-sponsored event in which you must participate (such as a sporting event) scheduled on the same day as a test or in-class quiz, then you must arrange with me to take the test or quiz early.

- no laptops in class
- all cell phones should be turned off during class, or be put in silent mode
- no texting or other use of the internet during class please