Math 1071 Outline

Tentative Outline – Fall 2015

Calculus: Applications and Technology (3rd edition), by E. Tomastik

 

Exam 1 (Tuesday 6th Oct.)

Week Section Topic
1
A1 Exponents and roots
A2 Polynomials and rational expressions
A6 Lines
2 Note: there will be no classes on Mon. Sept. 7th (Labor Day)
1.1  Functions
1.2 Mathematical models
3 1.3 Exponential models
1.4 Combinations of functions
1.5 Logarithms
4 3.1 Limits
3.2 Rates of change
3.3 The derivative
5 4.1 Derivatives of powers, exponents and sums
4.2 Derivatives of products and quotients
4.3 The chain rule
6 Review
Exam 1 (Tuesday 6th October)
4.4 Derivatives of exponential and logarithmic functions
7 3.4  Local linearity
4.5 Elasticity of demand
8 5.1 The first derivative
5.2 The second derivative
5.3  Limits at infinity
9 5.4  Additional curve sketching
5.5  Absolute extrema
10 5.6  Optimisation and modeling
 Review / catch-up
11  Review
Exam 2 (Tuesday 10th November)
6.1 Antiderivatives
12 6.2 Substitution
6.3  Estimating distance travelled
13 Thanksgiving break
14 6.4  The definite integral
6.5  The fundamental theorem of Calculus
15 6.6  Area between two curves
 Review
Final exam