Past Courses
Lecce, Italy
Spring 2009
Calculus C - Math 213
Textbook:
Calculus: Multivariable, Fourth Edition, by William G. McCallum, Deborah Hughes-Hallett, Andrew Gleason, et al.
It is advisable to have access to a single variable calculus textbook.
Course Description:
The third in a three-semester calculus sequence, this course examines differentiation and integration in three dimensions. Topics of study include functions of more than one variable, vectors and vector algebra, partial derivatives, optimization, and multiple integrals. Some of the following topics from vector calculus will also be covered as time permits: vector fields, line integrals, flux integrals, curl, and divergence. Prerequisite: MATH 112 or permission of the instructor.
Syllabus
Homework:
Assignments will be announced in class and then usually posted here. The classroom announcement serves as official notification.
Due Friday, January 16th
Section 12.1: 2, 3, 6, 8, 10, 18, 22, 26, 28, 30,
Section 12.2: 4, 5, 8, 10, 14, 22.
Due Friday, January 23rd
Section 12.3: 4, 9, 10, 17, 18, 19,
Section 12.4: 3, 10, 12-15, 16, 19, 20.
Due Friday, January 30th
Section 12.6: 1, 2, 12, 14, 19, 20,
Section 13.1: 2, 6, 11, 12, 19, 24, 30, 32,
Section 13.2: 1-5, 7, 11, 13, 22.
Due Friday, February 6th
Section 13.3: 6, 12, 15, 18, 24, 29, 38ac, 42,
Section 13.4: 4, 6, 14, 15, 19, 24, 33.
Due Monday, February 9th
Section 14.1: 1, 4, 6, 8, 13, 17, 20.
Due Friday, February 20th
Section 14.3: 2, 7, 9, 14, 18, 19, 22.
Due Friday, February 27th
Section 14.4: 1-6, 18, 25, 32, 46, 51, 52, 55, 58, 64, 65,
Section 14.6: 2, 5, 6, 9, 10, 16, 22, 36-38.
Due Friday, March 20th
Section 15.1: 1, 7, 10, 16, 21, 22, 23, 26.
Due Friday, April 3rd
Section 16.1: 2, 5, 9, 12, 13, 16, 20, 27, 31.
Due Friday, April 10th
Section 16.2: 4, 7, 9, 16, 22, 28, 37, 41.
Due Monday, April 13th
Section 16.4: 2, 3, 8, 10, 14, 16, 17, 19, 23.
Due Wednesday, April 22nd
Exam 3 Redo
Due Friday, April 24th
Section 16.5: 1, 3, 9, 12, 15-17, 28.
Lecture Topics:
Each day’s lecture topic will be posted here after class. A tentative schedule of what’s to come is in the syllabus.
Mon, Jan 12: 12.1 Functions of Two Variables
Wed, Jan 14: 12.2 Graphing Functions of Two Variables
Fri, Jan 16: 12.3 Contour Diagrams
Mon, Jan 19: 12.4 Linear Functions
Wed, Jan 21: 12.6 Limits and Continuity
Fri, Jan 23: 12.6 Limits and Continuity
Mon, Jan 26: 13.1, 13.2 Vectors
Wed, Jan 28: 13.3 Dot Product
Fri, Jan 30: 13.3 Dot Product
Mon, Feb 2: 13.4 Cross Product
Wed, Feb 4: 14.1 Partial Derivatives
Fri, Feb 6: 14.2 Computing Partial Derivatives Algebraically
Mon, Feb 9: Review
Wed, Feb 11: Exam 1
Fri, Feb 13: 14.3 Local Linearity and the Differential
Mon, Feb 16: 14.4 Directional Derivatives and the Gradient
Wed, Feb 18: 14.4 Geometric Properties of the Gradient
Fri, Feb 20: 14.6 The Chain Rule
Mon, Feb 23: 14.7 Second Order Partial Derivatives
Wed, Feb 25: 14.7 More Second Order Partial Derivatives, 14.8 Differentiability
Fri, Feb 27: Begin Parametric Plots Lab
Mon, Mar 16: 15.1 Local Extrema
Wed, Mar 18: 15.1 Local Extrema and using the Discriminant
Fri, Mar 20: 15.2 Optimization
Mon, Mar 23: 15.2 Optimization
Wed, Mar 25: Review
Fri, Mar 27: Exam 2
Mon, Mar 30: 16.1 Definite Integral of a Function of Two Variables
Wed, Apr 1: 16.1-16.2 Iterated Integrals
Fri, Apr 3: 16.2 Iterated Integrals
Mon, Apr 6: 16.2 Problem Solving with Iterated Integrals
Wed, Apr 8: 16.4 Double Integrals in Polar Coordinates
Fri, Apr 10: 16.4 Double Integrals in Polar Coordinates
Mon, Apr 13: 16.3 Triple Integrals
Wed, Apr 15: Review
Fri, Apr 17: Exam 3
Mon, Apr 20: 16.5 Integrals in Cylindrical and Spherical Coordinates
Wed, Apr 22: 16.5 Integrals in Cylindrical and Spherical Coordinates
Fri, Apr 24: Vector Calculus Lab 1 - Motion and Velocity
Mon, Apr 27: Vector Calculus Lab 2 - Vector Fields and Flow Lines
Wed, Apr 29: Vector Calculus Lab 3 - Line Integrals and Fund. Thm. of Calculus
Fri, May 1: Review
Thu, May 7: Final Exam
Chris Camfield, Visiting Assistant Professor