Calculus I Course Topics – MAT 241 Prof. Salane Based on 7^{th} edition of text


Day/week 
Section 
Topic 
1/I 
1.11.6 
Functions and Models 
2 
2.1 
Tangent and Velocity Problems 
3/II 
2.2 
The Limits of a Function 
4 
2.3 
Calculating Limits 
5/III 
2.4,2.5 
Definition of Limit. Continuity 
6 
2.6, 2.7 
Limits at Infinity, Derivatives and Rates of Change 
7/IV 
2.8 
Derivative of a Function 
8 
3.1 
Derivatives of Polynomials and Exponentials 
9/V 
3.2 
Product and Quotient Rules 
10 
3.3 
Derivatives of Trigonometric Functions 
11/VI 
Exam I 

12 
3.4 
The Chain Rule 
13/VII 
3.5 
Implicit Differentiation 
14 
3.6, 3.7 ex 1, ex 3, ex 4 
Derivatives of Logarithmic Functions 
15/VIII 
3.9 
Rates of Change 
16 
3.8 (radioactive decay), 3.9 problems 
Exponential Growth and Decay 
17/IX 
3.10 Taylor Polynomials, Quiz 
Differentials 
Day/week 
Section 
Topic 
18 
4.1 
Maximum and Minimum values 
19/X 
Exam II 

20 
4.2 
The Mean Value Theorem 
21/XI 
4.3 
Derivatives and Shape of Graph 
22 
4.4 
Indeterminate Forms L’Hospital’s
Rule 
23/XII 
4.7 
Optimization Problems 
24 
4.8 
Newton’s Method 
25/XIII 
Exam III 

26 
4.9 5.1 
Antiderivatives Areas and Distances (introduction) 
27/XIV 
5.2 
The Definite Integral (introduction) 
28 
Final Exam 
