Fall 2019 - MATH 251 D300
Calculus III (3)
Class Number: 10452
Delivery Method: In Person
Course Times + Location:
Mo, We, Fr 8:30 AM – 9:20 AM
WMC 2830, Burnaby
Exam Times + Location:
Dec 9, 2019
3:30 PM – 6:30 PM
RCB IMAGTH, Burnaby
Prerequisites:MATH 152; or MATH 155 or MATH 158 with a grade of at least B. Recommended: It is recommended that MATH 240 or 232 be taken before or concurrently with MATH 251.
Rectangular, cylindrical and spherical coordinates. Vectors, lines, planes, cylinders, quadric surfaces. Vector functions, curves, motion in space. Differential and integral calculus of several variables. Vector fields, line integrals, fundamental theorem for line integrals, Green's theorem. Quantitative.
Math 251 D300 Special Lectures:
How to apply:
Students seeking to participate in these special lectures must:
1) register in MATH251 Section D100 during the normal registration period;
2) complete a written application and submit it to the Department of Mathematics (link to application);
3) meet a minimum grade requirement of A in MATH152.
Students selected for these special lectures (Section D300) will be notified prior to the start of term, and informed about the classroom location.
Vectors and Geometry of Space:
- Three Dimensional Coordinate System
- The Dot Product
- The Cross Product
- Equations of Lines and Planes
- Cylinders and Quadric Surfaces
- Vector Functions and Space Curves
- Derivatives and Integrals of Vector Functions
- Arc Length and Curvature
- Motion in Space
- Functions of Several Variables
- Limits and Continuity
- Partial Derivatives
- Tangent Planes and Linear Approximations
- The Chain Rule
- Directional Derivatives and the Gradient Vector
- Maximum and Minimum Values
- Lagrange Multipliers and Constrained Maximum and Minimum Problems
- Double Integrals over Rectangles
- Iterated Integrals
- Double Integrals over General Regions
- Double Integrals in Polar Coordinates
- Applications of Double Integrals
- Triple Integrals
- Triple Integrals in Cylindrical Coordinates
- Triple Integrals in Spherical Coordinates
- Change of Variables in Multiple Integrals
- Vector Fields
- Line Integrals
- The Fundamental Theorem for Line Integrals
- Green's Theorem
- Quizzes 10%
- Online Homework 5%
- Midterm 1 17.5%
- Midterm 2 17.5%
- Final Exam 50%
THE INSTRUCTOR RESERVES THE RIGHT TO CHANGE ANY OF THE ABOVE INFORMATION.
Students should be aware that they have certain rights to confidentiality concerning the return of course papers and the posting of marks.
Please pay careful attention to the options discussed in class at the beginning of the semester.
Calculus: Early Transcendentals, 8th Edition Textbook, by James Stewart, packaged with Multi-term Enhanced WebAssign [Text + EWA/eBook]
*Please Note: If you have purchased the above package within the last 5 years, do not purchase again!
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