Mathematics 102, Section 101

Differential Calculus with Applications to Life Sciences

Department of Mathematics,  Undergraduate Math courses,  University of British Columbia

Prerequisites: New prerequisites are in place. These are explained at http://www.math.ubc.ca/Ugrad/m110.shtml

Instructor

John MacDonald

Text

• Leah Keshet, Math 102 Course Notes, http://www.ugrad.math.ubc.ca/coursedoc/math102/keshet.notes/index.html .

I will post all handouts, problem sets, final grades, etc. on the web here.

Topics

1. Review of straight lines
   
2. Review of Simple Functions
   
3. Average velocity, Secant lines, derivatives
   
4. The derivative
   
5. What the derivative tells us about a function
   
6. Optimization
   
7. Chain Rule, Related Rates, Implicit Differentiation
   
8. Exponential functions and logarithms
   
9. Exponential Growth and Decay: Differential Equations
   
10. Trigonometric functions
    
11. Inverse trigonometric functions
    
12. Approximation Methods
    
13. More differential equations

Grading

• There will be two midterms (schedule to be announced) accounting for 30% of the final mark.
• There will be homework assignments. The homework problems will count for 10% of the final mark.
• There will be six labs. They will count 10% of the final mark.
• The final exam will account for 50% of the final mark.