MAT-17A: Calculus for Bio & Medicine

Lecture Notes:

Lecture 1: Functions

Lecture 2: Essential Functions

Lecture 3: Exponential and Logarithmic Rules

Lecture 4: Power Model and Log-log Plots

Lecture 5: Exponential Model and Semi-log Plots

Lecture 6: Limit at Infinity

Lecture 7: Limit at a Point

Lecture 8: Limit at a Point cont.

Lecture 9: Blowups, One sided Limit

Lecture 10: Continuity

Lecture 11: Derivatives

Lecture 12: Properties and Formulas

Lecture 13: Product Rule, Quotient Rule

Lecture 14: Trig Derivatives and Chain Rule

Lecture 15: Chain Rule (Multi-layer)

Lecture 16: Implicit Differentiation, ln(x) and arctan(x)

Lecture 17: Related Rate

Lecture 18: Exponential Model Revisited, Log-derivative

Lecture 19: Global Extrema, Critical Points

Lecture 20: First Derivative Test

Lecture 21: Concavity, Second Derivative Test

Lecture 22: Graph Plotting

Lecture 23: Linearization

Lecture 24: L'Hospital Rule

Lecture 25: Optimization

Lecture 26: Sequences

Lecture 27: RecursionL Equilibria and Stability