21-120 Differential and Integral Calculus
Schedule and Homework

Important: Our Final Exam is Thursday, December 14, 8:30 - 11:30 AM, Wean Hall 7500. Make your travel plans accordingly. If your parents will be making reservations for you, please keep them informed so that they do not make conflicting plans for you. No one will be permitted to take the Final Exam early.


Week #1: 
Aug 28 - Sep 1
Homework
Four Ways to Represent a Function (1.1)
Mathematical Models: A Catalog of Essential Functions (1.2)
New Functions from Old Functions (1.3) 
Week #2: 
Sep 5 - 8
Homework
Exponential Functions (1.5)
Inverse Functions and Logarithms (1.6) 
Week #3: 
Sep 11 - 15
Homework
The Tangent and Velocity Problems (2.1)
The Assessment Test will be given during the recitation hour on Tuesday, September 12.
The Limit of a Function (2.2)
Calculating Limits Using the Limit Laws (2.3)
Week #4: 
Sep 18 - 22
Homework
Continuity (2.5)
Limits at Infinity; Horizontal Asymptotes (2.6)
Exam #1 will be given during the lecture hour on Friday, September 22.
Week #5: 
Sep 25 - 29
Homework

Tangents, Velocities, and Other Rates of Change (2.7)
Derivatives (2.8)
Week #6: 
Oct 2 - 6
Homework
The Derivative as a Function (2.9)
Derivatives of Polynomial and Exponential Functions (3.1)
The Product and Quotient Rules (3.2)
Week #7: 
Oct 9 - 13
Homework
Derivatives of Trigonometric Functions (3.4)
The Chain Rule (3.5)
Implicit Differentiation (3.6)
Week #8: 
Oct 16 - 19
Homework
Higher Derivatives (3.7) 
Derivatives of Logarithmic Functions (3.8)
Week #9: 
Oct 23 - 27
Homework
Linear Approximations and Differentials (3.11)
Maximum and Minimum Values (4.1)
Exam #2 will be given during the lecture hour on Friday, October 27.
Week #10: 
Oct 30 - Nov 3
Homework
How Derivatives Affect the Shape of a Graph (4.3)
Indeterminate Forms and L'Hospital's Rule (4.4)
Week #11: 
Nov 6 - 10
Homework
Summary of Curve Sketching (4.5)
Optimization Problems (4.7)
Applications to Business and Economics (4.8)
Week #12: 
Nov 13 - 17
Antiderivatives (4.10)
Areas and Distances (5.1)
The Definite Integral (5.2)
Week #13: 
Nov 20
Homework
The Fundamental Theorem of Calculus (5.3)
Week #14: 
Nov 27 - Dec 1
Homework
Exam #3 will be given during the lecture hour on Wednesday, November 29.
Indefinite Integrals and the Net Change Theorem (5.4)
The Substitution Rule (5.5)
Week #15: 
Dec 4 - 8
Integration by Parts (7.1)
Areas between Curves (6.1)