Math 251 Suggested Weekly Schedule
Book: James Stewart (Early Transcendentals) Ninth Edition
- Week 1
- Course introduction
- Three-dimensional coordinate systems (12.1)
- Vectors (12.2)
- The dot product (12.3)
- Week 2
- The cross product (12.4)
- Equations of lines and planes (12.5)
- Cylinders and quadric surfaces (12.6) (briefly)
- Week 3
- Vector functions and space curves (13.1)
- Derivatives and integrals of vector-functions (13.2)
- Arc length, curvature (13.3)
- Week 4
- Motion in space: displacement, velocity, and acceleration (13.4)
- Functions of several variables (14.1)
- Exam I (covers through Section 13.4)
- Week 5
- Partial derivatives (14.3)
- Tangent planes and Linear approximation (14.4)
- The chain rule (14.5)
- Week 6
- Directional derivatives and the gradient vector (14.6)
- Maximum and minimum values (14.7)
- Week 7
- Lagrange multipliers (14.8)
- Double integral over rectangles (15.1)
- Week 8
- Double integral over general regions (15.2)
- Exam 2 (Covers Chapter 14)
- Week 9
- Double integrals in polar coordinates (15.3)
- Applications of double integrals (optional) (15.4)
- Surface Area (15.5) (can be combined with section 16.6 if pressed for time)
- Week 10
- Triple integrals (15.6)
- Triple integrals in cylindrical coordinates (15.7)
- Triple integrals in spherical coordinates (15.8)
- Week 11
- Change of Variables in Multiple Integrals, Jacobians (15.9)
- Vector fields (16.1)
- Week 12
- Line integrals (16.2)
- Fundamental theorem of line integrals (16.3)
- Exam 3 (covering Chapter 15)
- Week 13
- Green’s theorem (16.4)
- Curl and divergence (16.5)
- Week 14
- Parametric surfaces and their area (16.6)
- Surface integrals (16.7)
- Week 15
- Stokes’ Theorem (16.8)
- The Divergence Theorem (16.9)
- Review for Final Exam (covers Chapter 16 and Section 14.7) (See the University’s Final Exam Schedule)
Note: This schedule may change slightly each semester according to the posted University schedule.