Math151       Lecture Notes       Spring 2011

This page will be updated as the semester progresses.

Week 1
8/29   Appendix D (Trigonometry)
8/31   Appendix D (Trigonometry),   Section 1.1 (Vectors)
9/02   Section 1.1 (Vectors)
Week 2
9/05   Section 1.1 (Vectors),   Section 1.2 (The dot product)
9/07   Section 1.2 (The dot product)
9/09   Section 1.3 (Vector functions)
Week 3
9/12   Section 2.2 (The limit of a function),   Section 2.3 (Calculating limits using the limit laws)
9/14   Section 2.3 (Calculating limits using the limit laws),   Section 2.5 (Continuity)
9/16   Section 2.5 (Continuity)
Week 4
9/19   Section 2.6 (Limits at infinity; horizontal asymptotes)
9/21   Section 2.7 (Tangents, velocities, and the other rates of change)
9/23   Section 2.7 (Tangents, velocities, and the other rates of change),   Section 3.1 (Derivatives)
Week 5
9/26   Section 3.1 (Derivatives),   Review for Test 1 (with solutions)
9/28   Section 3.2 (Differentiation formulas)
9/30   Section 3.4 (Derivatives of trigonometric functions)
Week 6
10/3   Section 3.5 (The chain rule),   Section 3.6 (Implicit differentiation)
10/5   Section 3.6 (Implicit differentiation)
10/7   Section 3.7 (Derivatives of vector functions),   Section 3.8 (Higher derivatives)
Week 7
10/10   Section 3.8 (Higher derivatives)
10/12   Section 3.8 (Higher derivatives),   Section 3.9 (Slopes and tangents to parametric curves)
10/14   Section 3.10 (Related rates)
Week 8
10/17   Section 3.11 (Differentials; linear and quadratic approximations)
10/19   Section 3.11 (Differentials; linear and quadratic approximations),   Section 4.1 (Exponential functions and their derivatives)
10/21   Section 4.1 (Exponential functions and their derivatives), Section 4.2 (Inverse functions)
Week 9
10/24   Section 4.3 (Logarithmic functions)
10/26   Review for Test 2 , Answers
10/28   Section 4.3 (Logarithmic functions),   Section 4.4 (Derivatives of logarithmic functions)
Week 10
10/31   Section 4.4 (Derivatives of logarithmic functions),   Section 4.5 (Exponential growth and decay)
11/2   Section 4.5 (Exponential growth and decay),   Section 4.6 (Inverse trigonometric functions)
11/4   Section 4.6 (Inverse trigonometric functions),   Section 4.8 (L'Hospital's Rule)
Week 11
11/7   Section 4.8 (L'Hospital's Rule),   Section 5.1 (What does f' say about f?),   Section 5.2 (Maximum and minimum values)
11/9   Section 5.2 (Maximum and minimum values),   Section 5.3 (Derivatives and the shapes of curves)
11/11   Section 5.3 (Derivatives and the shapes of curves),   Section 5.5 (Applied maximum and minimum problems)
Week 12
11/14   Section 5.5 (Applied maximum and minimum problems),   Section 5.7 (Antiderivatives)
11/16   Section 5.7 (Antiderivatives),   Section 6.1 (Sigma notation)
11/16   Section 6.1 (Sigma notation),   Section 6.2 (Area), Section 6.3 (Definite integral)
Week 13
11/21   Section 6.2 (Area), Section 6.3 (Definite integral)
11/23   classes have been cancelled
Week 14
11/28   Review for Test 3 , Answers
11/30   Section 6.3 (Definite integral), Section 6.4 (The fundamental theorem of calculus)