Math 1071 Outline

Tentative Outline – Spring 2015

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

 

Week Section Topic
1
A1 Exponents and roots
A2 Polynomials and rational expressions
2  A6 Lines
1.1 Functions
1.2 Mathematical models
3 1.3 Exponential models
1.4 Combinations of functions
4 1.5 Logarithms
3.1 Limits
5  3.2 Rates of change
3.3  The derivative
4.1  Derivatives of powers, exponents, and sums
6 4.2 Derivatives of products and quotients
4.3  The chain rule
4.4 Derivatives of exponential and logarithmic functions
7 Catch-up/Review
Exam 1 (Thursday 3rd March)
3.4 Local linearity
8 4.5 Elasticity
5.1 The first derivative
9  Spring break (13th-19th March)
10 5.1 The first derivative, continued
5.2 The second derivative
11 5.3 Limits at infinity
5.4 Additional curve sketching
12 5.5 Absolute Extrema
5.6  Optimisation and modeling
13 Catch-up/Review
Exam 2 (Thursday 14th April)
6.1 Antiderivatives
14 6.2 Substitution
6.4  The definite integral
6.5 The fundamental theorem of calculus
15  6.6 Area between two curves
Catch-up/Review
Final exam