Math151       Lecture Notes       Fall 2016

This page will be updated as the semester progresses.

Appendix D (Trigonometry)      Completed notes
Section 1.1 (Vectors)      Completed notes
Section 1.2 (The dot product)      Completed notes
Section 1.3 (Vector functions)      Completed notes
Section 2.2 (The limit of a function)      Completed notes
Section 2.3 (Calculating limits using the limit laws)      Completed notes
Section 2.5 (Continuity)     Completed notes
Section 2.6 (Limits at infinity; horizontal asymptotes)     Completed notes
Section 2.7 (Tangents, velocities, and the other rates of change)     Completed notes
Section 3.1 (Derivatives)      Completed notes
Section 3.2 (Differentiation formulas)      Partially completed notes
Section 3.4 (Derivatives of trigonometric functions)      Completed notes
Review for Test 1

Section 3.5 (The chain rule)      Completed notes
Section 3.6 (Implicit differentiation)      Completed notes
Section 3.7 (Derivatives of vector functions)      Completed notes
Section 3.8 (Higher derivatives)      Completed notes
Section 3.9 (Slopes and tangents to parametric curves)      Completed notes
Section 3.10 (Related rates)      Completed notes
Section 3.11 (Differentials; linear and quadratic approximations)      Completed notes
Section 4.1 (Exponential functions and their derivatives)      Completed notes
Section 4.2 (Inverse functions)      Completed notes
Section 4.3 (Logarithmic functions)      Completed notes
Review for Test 2

Section 4.4 (Derivatives of logarithmic functions)      Completed notes
Section 4.5 (Exponential growth and decay)      Completed notes
Section 4.6 (Inverse trigonometric functions)      Completed notes
Section 4.8 (L'Hospital's Rule)      Completed notes
Section 5.1 (What does f' say about f?)      Completed notes
Section 5.2 (Maximum and minimum values)      Completed notes
Section 5.3 (Derivatives and the shapes of curves)      Completed notes
Section 5.5 (Applied maximum and minimum problems)      Completed notes
Section 5.7 (Antiderivatives)      Completed notes
Section 6.1 (Sigma notation)      Completed notes
Section 6.2 (Area)      Completed notes
Section 6.3 (Definite integral)      Completed notes
Section 6.4 (The fundamental theorem of calculus)      Completed notes