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.
This is our awesome textbook
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:

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, 1.6
Exponential 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: 5.2
The Definite Integral 		Apr 10:
Sects: 5.3
The Fundamental Theorems 		Apr 12:
Sects: 5.3
The Fundamental Theorems
Apr 15:
Sects: 5.4, 5.5
Indefinite Integrals and Substitution		 Apr 17:
Sects: 5.4, 5.5
More 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