Office: MATH 641
Mail box: MATH 427 (WEILAND)
Email: jweiland@purdue.edu
Office hours: Thursday 1:00-2:00pm and Friday 10:00-11:00am
Syllabus
Lessons
This course was cotaught with Ethan Kissenger. I have provided links to the notes for the lessons that I taught.- Lesson 1: Review of vectors
- Lesson 2: Lines and planes in space; Quadratic surfaces I
- Lesson 3: Quadratic surfaces II; Vector-valued functions
- Lesson 4: Calculus of vector-valued functions; Motion in space I
- Lesson 5: Motion in space II; Length of curves; Curvature
- Lesson 6: Functions of several variables; Limits and continuity
- Lesson 7: Partial derivatives; Chain rule
- Lesson 8: Directional derivative and gradient; Tangent planes and linear approximation
- Lesson 9: Max and min problems
- Lesson 10: Lagrange multipliers
- Lesson 11: Double integrals over rectangular regions
- Lesson 12: Double integrals over general regions
- Lesson 13: Double integrals in polar coordinates
- Lesson 14: Triple integrals
- Lesson 15: Triple integrals in cylindrical and spherical coordinates
- Lesson 16: Integrals in mass calculations; Vector fields
- Lesson 17: Line integrals of functions and vector fields
- Lesson 18: Conservative vector fields and the fundamental theorem of line integrals
- Lesson 19: Green's theorem; Curl and divergence
- Lesson 20: Surface integrals I
- Lesson 21: Surface integrals II
- Lesson 22: Surface integrals III
- Lesson 23: Stokes' theorem I
- Lesson 24: Stokes' theorem II
- Lesson 25: Divergence theorem I
- Lesson 26: Divergence theorem II
Quizzes
- Quiz 1: June 14 Lessons 1-3
- Quiz 2: June 18 Lessons 4-5
- Quiz 3: June 21 Lessons 6-7
- Quiz 4: June 28 Lessons 8-10
- Quiz 5: July 5 Lessons 11-13
- Quiz 6: July 9 Lessons 14-15
- Quiz 7: July 12 Lessons 16-17
- Quiz 8: July 19 Lessons 18-20
- Quiz 9: July 23 Lessons 21-22
- Quiz 10: July 26 Lessons 23-24
Exams
- Exam 1: June 25 Lessons 1-8
- Exam 2: July 15 Lessons 9-17
- Final exam: Aug 1 Lessons 1-25