MAT 125
Calculus A

Fall 2009
Julia Viro

Generalities Instructor Schedule Assignments Exams SOLAR Blackboard

Tentative schedule

Week of Contents Sections
8/31-9/4 Functions and their graphs. Even and odd functions, increasing and decreasing functions. Operations on functions: sum, difference, product, quotient, composition. 1.1, 1.2, 1.3, Appendix C
9/7-9/11 Basic elementary functions: polynomials, rational, power, trigonometric and exponential functions. Inverse functions. Logarithms. Inverse trigonometric functions: arcsine, arccosine, arctangent. 1.2, 1.5, 1.6, 3.6
9/14-9/18 The limit of a function. Limit laws. 2.1, 2.2, 2.3
9/21-9/25 Continuity. Squeeze theorem. Limits involving infinity. Calculating technique for limits. 2.4, 2.5
9/28-10/2
9/29 correction day (Monday schedule)
The derivative and its geometrical meaning. Tangent line. Derivative as velocity. 2.6, 2.7, 2.8,
10/5-10/9 Rates of change in the real world. Linear approximation. Derivatives of higher orders. 3.8, 3.9
10/12-10/16 Review for Midterm 1. Midterm 1 is on Thursday 10/15 in class 1.2-1.6, 2.1-2.8, 3.9
10/19-10/23 Derivatives of polynomials and exponential functions. Product and quotient rules. Derivatives of trigonometric functions. 3.1, 3.2, 3.3
10/26-10/30 Chain rule. Implicit differentiation. Derivatives of logarithmic and inverse trigonometric functions. 3.4, 3.5, 3.6, 3.7
11/2-11/6 Newton's method. 4.7
11/9-11/13 Review for Midterm 2, Midterm 2 is on Thursday 11/12 in class 3.1-3.7
11/16-11/20 Maximum and minimum values. Graphing. 4.2, 4.3
11/23-11/24
11/25-11/29 Thanksgiving break
Related rates. 4.1, 4.7
11/30-12/4 Indeterminate forms and L'Hopital's rule. Optimization. 4.5, 4.6
12/7-12/11 Review for Final.
?day 12/?
8:00-10:30am
Final exam