# Introduction to Calculus

 General Information Syllabus Homework Assignments Exam Related

## Syllabus

The following is a tentative syllabus for the course. This page will be updated irregularly. On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate.

Lectures Sections in the Textbook Brief Description
Day 1:  Monday, Jan 5 2.1 The Tangent and Velocity Problems
Day 2:  Wednesday, Jan 7 2.2, 2.3 The Limit of a Function; Calculating Limits Using the Limit Laws
Day 3:  Friday, Jan 9 2.3, 2.5 Calculating Limits Using the Limit Laws (cont.); Continuity
Saturday, Jan 10   Classes shifted to the X-hour.
Day 4:  Monday, Jan 12 2.5, 2.6 Continuity (cont.); Tangent, Velocities, and Other Rates of Change
Day 5:   X-hour instead of Jan 10
Tuesday, Jan 13 or Thursday, Jan 15
3.1, 3.2 Derivatives; The Derivative as a Function
Day 6:  Wednesday, Jan 14 3.3 Differentiation Formulas
Day 7:  Friday, Jan 16 3.5 Derivatives of Trigonometric Functions
Friday, Jan 16   Last day to add/drop
Monday, Jan 19   Martin Luther King Jr. Day. Classes moved to the X-hour.
Day 8:   X-hour instead of Jan 19
Tuesday, Jan 20 or Thursday, Jan 22
3.6 The Chain Rule
Day 9:  Wednesday, Jan 21 3.6, 3.7, 3.8 The Chain Rule (cont.); Implicit Differentiation; Higher Derivatives
Day 10:  Friday, Jan 23 3.9 Related Rates
Day 11:  Monday, Jan 26 4.1, 4.2 Maximum and Minimum Values; The Mean Value Theorem
Day 12:  Wednesday, Jan 28 4.2, 4.3 The Mean Value Theorem (cont.); How Derivatives Affect the Shape of a Graph
Wednesday, Jan 28 evening   First Midterm 6PM - 8PM
Day 13:  Friday, Jan 30 4.3, 4.4 How Derivatives Affect the Shape of a Graph (cont.); Limits at Infinity; Horizontal Asymptotes
Day 14:  Monday, Feb 2 4.5 Summary of Curve Sketching
Day 15:  Wednesday, Feb 4 4.7 Optimization Problems
Day 16:  Friday, Feb 6 4.9, 4.10 Newton's Method; Antiderivatives
Day 17:  Monday, Feb 9 4.10, 5.1 Antiderivatives (cont.); Areas and Distances
Day 18:  Wednesday, Feb 11 5.2 The Definite Integral
Friday, Feb 13   Winter Carnival holiday. Classes moved to the X-hour.
Day 19:  Monday, Feb 16 5.3, 5.4 The Fundamental Theorem of Calculus; Indefinite Integrals and the Net Change Theorem
Day 20:   X-hour instead of Feb 13
Tuesday, Feb 17 or Thursday, Feb 19
5.4, 5.5 Indefinite Integrals and the Net Change Theorem (cont.); The Substitution Rule
Day 21:  Wednesday, Feb 18 6.1, 6.2 Areas between Curves; Volumes
Wednesday, Feb 18 evening   Second Midterm 6:30PM - 8:30PM
Day 22:  Friday, Feb 20 6.2, 6.3 Volumes (cont.); Volumes by Cylindrical Shells
Day 23:  Monday, Feb 23 7.1 Inverse Functions
Tuesday, Feb 24   Last day to drop
Day 24:  Wednesday, Feb 25 7.2* The Natural Logarithmic Function
Day 25:  Friday, Feb 27 7.3*, 7.4* The Natural Exponential Function; General Logarithmic and Exponential Functions
Day 26:  Monday, Mar 1 7.5 Inverse Trigonometric Functions
Day 27:  Wednesday, Mar 3 7.7 Indeterminate Forms and L'Hospital's Rule
Day 28:  Friday, Mar 5 8.1 Integration by Parts
Day 29:  Monday, Mar 8 -- Review etc.