Department of Mathematics and Statistics

Oakland University

146 Library Drive

Rochester, MI. 48309

Office: 546 Mathematics Science Center

E-mail: shaska[at]oakland.edu

Oakland University

146 Library Drive

Rochester, MI. 48309

Office: 546 Mathematics Science Center

E-mail: shaska[at]oakland.edu

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The course is ** fully online**.

We will use Google Classroom. I will add all your names in Google classroom. Make sure to use your Oakland email to log in. All the course materials will be upload there, including videos of the lectures.

There will be live online lectures which will be recorded and posted on google classroom. You can attend these lectures live during the regular class times or watch the videos later. I recommend you attend the live versions so you can ask questions.

There will be two midterms on May 18 and June 8 during class time. Please block those dates. No makeup exams will be given under any circumstances.

- Chapter 12: Vectors and geometry of space
- 12.1 Three dimensional coordinate system
- 12.2 Vectors
- 12.3 The dot product
- 12.4 The cross product
- 12.5 Equations of lines and planes
- 12.6 Quadratic surfaces
- Chapter 13: Vector functions
- 13.1 Vector functions and space curves
- 13.2 Derivatives and integrals of vector functions
- 13.3 Arc length and curvature
- 13.4 Motion in space: velocity and acceleration
- Chapter 14: Functions of several variables, partial derivatives
- 14.1 Functions of several variables
- 14.2 Limits and continuity
- 14.3 Partial derivatives
- 14.4 Tangent planes and linear approximation
- 14.5 The chain rule
- 14.6 Directional derivatives and the gradient
- 14.7 Maximum and minimum values
- 14.8 Lagrange multipliers
- 14.9 Taylor series for functions of several variables* (not in the book)
- Chapter 15: Multiple integrals
- 15.1 Double integrals over rectangles
- 15.2 Iterated integrals
- 15.3 Double integrals over general regions
- 15.4 Double integrals in polar coordinates
- 15.5 Applications of double integrals
- 15.6 Surface area
- 15.7 Triple integrals
- 15.8 Triple integrals in cylinder coordinates
- 15.9 Triple integrals in spherical coordinates
- 15.10 Change of variables in multiple integrals
- Chapter 16: Vector Calculus
- 16.1 Vector fields
- 16.2 Line integrals
- 16.3 The fundamental theorem of line integrals
- 16.4 Green's theorem
- 16.5 Curl and divergence
- 16.6 Parametric surfaces and their areas
- 16.7 Surface integrals
- 16.8 Stoke's theorem
- 16.9 The divergence theorem