# Math 141, Sections 005-006

Calculus 1

University of South Carolina
Fall 2012

## Course Information:

Meets in LeConte 412, MWF 10:10 - 11:00.
The text is Calculus, Early Trancendentals Sixth edition, by James Stewart.

Our syllabus (in pdf format).

## Contact Information:

Professor Aaron M. Dutle
Office: LeConte 418 B
Phone: 803-777-5965
email: dutle@mailbox.sc.edu
Office Hours: MW 2:30-3:30, or by appointment.

## Notes:

• We will be using the online program Webassign for homework. Section 005 should use class key sc 9022 5017 when registering. Section 006 should use class key sc 8432 5171 when registering. Important: If you are unsure which section you are in, check on VIP first.
• There will be a quiz each Thursday, during recitation, with problems similar to those on the homework.
• Tests are currently scheduled for Feb 11, March 25, and Apr 22. These dates may be slightly altered based on the speed of the course.
• Here is Practice Test 1 Here are Solutions
• Here is Practice Test 2 Here are Solutions
• Here is Practice Test 3 Here are Solutions
• Here are blank copies of Test 1, Test 2, and Test 3

## Schedule (tentative)

Sects: 2.8
Derivative as a function
 Monday Tuesday Wednesday Jan 14: Sects: 1.1 Intro, Four ways to see functions Jan 16: Sects: 1.2, 1.3 Essential functions, New functions from old Jan 18: Sects: 1.5, 1.6Exponential and Logarithmic functions Jan 21: Martin Luther King Jr. Day No Classes Jan 23: Sects: 2.1 The Tangent and Velocity problems Jan 25: Sects: 2.2, 2.3 Limit of a function Jan 28: Sects: 2.3 Calculating Limits Jan 30: Sects: 2.4, 2.5 Definition of the limit, Continuity Feb 1: Sects: 2.5 Continuity Feb 4:Sects: 2.6, 2.7 Limits at Infinity, Derivatives Feb 6: Sects: 2.7, 2.8 Rates of Change, Derivative as a function Feb 8: Review Practice Test 1, Solutions Feb 11: Test 1 Feb 13: Sects: 3.1 Derivatives of Polynomials and Exponentials Feb 15: Sects: 3.2 Product and Quotient rules Feb 18: Sects: 3.3 Derivatives of Trig Functions Feb 20: Sects: 3.4 Chain Rule Feb 22: Sects: 3.5 Implicit Differentiation Feb 25: Sects: 3.6 Derivatives of Logarithmic Functions Feb 27: Sects: 3.9 Related Rates Mar 1: Sects: 4.1 Max and Min Values Mar 4: Sects: 4.2 Mean Value Theorem Mar 6: Sects: 4.3 Derivatives and the shape of a graph Mar 8: Sects: 4.4 Indeterminant Forms and L'Hospital's rule March 10 - 17: Spring Break Mar 18: Sects: 4.4, 4.5 Indeterminant forms, curve sketching Mar 20: Sects: 4.5 Summary of Curve Sketching Mar 22: Review Practice Test 2, Solutions Mar 25: Test 2 Mar 27: Sects: 4.7 Optimization Problems Mar 29: Sects: 4.7 Optimization Problems Apr 1: Sects: 4.9 Antiderivatives Apr 3: Sects: 5.1 Areas and Distances Apr 5: Sects: 5.2 The Definite Integral Apr 8: Sects: 5.2The Definite Integral Apr 10: Sects: 5.3The Fundamental Theorems Apr 12: Sects: 5.3 The Fundamental Theorems Apr 15: Sects: 5.4, 5.5Indefinite Integrals and Substitution Apr 17: Sects: 5.4, 5.5More Substitution, the Net Change Theorem Apr 19: Review Practice Test 3, Solutions Apr 22: Test 3 Apr 24: Sects: 6.1 Areas Between Curves Apr 26: Sects: 6.2 Volumes Apr 29: Review May 1: May 3: May 6: Final Exam 9 am