Supplements

Supplementary Notes

• SN1: Summation
• SN2: Linear and quadratic Taylor polynomials in several variables | Solutions to exercises
• SN3: Optimization I - first and second order condtions
• SN4: Optimization II - the envelope theorem
• SN5: Optimization III - constrained optimization

Study Guides

• Study Guide 1 | Solutions
• Study Guide 2 | Solutions
• Study Guide 3 | Solutions 
• Study Guide 4 | Solutions
• Study Guide 5 | Solutions

Exam Solutions

• Exam 1 solutions
• Exam 2 solutions
• Exam 3 solutions
• Exam 4 solutions

 11A Supplements

 Lecture Slides

• Indefinite integral, I (Wednesday, 3/30/16)
• Indefinite integral, II - substitution (Monday, 4/4/16)
• Summation (Friday, 4/8/16)
• Definite integral (Monday, 4/11/16)
• Fundamental Theorem of Calculus (Wednesday, 4/13)
• Logistic Growth (Friday, 4/29)
• Partial derivatives (Monday, 5/2)
• Critical points (Wednesday, 5/11)
• Second derivative test (Friday, 5/13)

 Past Final Exams (Solutions will NOT be posted, but you can ask about them in section and office hours). 

• Winter 2012
• Spring 2014
• Fall 2014