MATH 252 - Calculus III - FALL 2022

 

Instructor: Prof. Ricardo Carretero
 
Lectures: Secs. 07+08+09+10: Tu + Th 0930-1045 @ HH-130.
 

TA recitations:		 Sec. 07, Schedule#22496, Evan Hall, Wednesdays 10:00-10:50 @ GMCS-301.
Sec. 08, Schedule#22497, Evan Hall, Wednesdays 11:00-11:50 @ GMCS-307.
Sec. 09, Schedule#22498, Evan Hall, Wednesdays 14:00-14:50 @ LH-251.
Sec. 10, Schedule#22499, Pete Uhl, Wednesdays 13:00-13:50 @ GMCS-307.
 
Office Hours: Evan: Tu 12:30-16:30 @ MSLC (LL-328).
Pete: We+Fr 12:00-14:00 @ MSLC (LL-328).
Prof C.: Tu+Th 11:00-12:00 @ GMCS-577.
 
Math&Stats
Learning Center:		 The Department of Mathematics runs the Math&Stats Learning Center (MSLC) @ Love Library, Room LL-328. For details click here.
 

Syllabus:

Official Syllabus: Click HERE.

Important dates:
Tue, Aug. 23: First lecture.
Fri, Sep. 02: Last day to adjust schedule (adds, drops, etc.)
Thu, Dec, 08: Last day of classes before finals.

Tests: [Instructions and Rules]
Tue, Oct. 04: Midterm#1, 9:30-10:45
Tue, Nov. 01: Midterm#2, 9:30-10:45
Thu, Dec. 01: Midterm#3, 9:30-10:45
Tue, Dec. 13: FINAL 8:00-10:00

Textbook:
Calculus-Single Variable Calculus Early Transcendentals, 8E, by James Stewart.
You can buy hardcopy, paperback or electronic copy.
Make sure that it includes a WebAssign code for the electronic homework.
If you took Math-150/151 and participated in Immediate Access , you do not have to purchase anything. Your access to the eBook and WebAssign will continue in Math-252.
However, if you did not take Math-151 in Spring 2022 with us or did not participate in Immediate Access, you have the following option: Etext access code - Cengage Unlimited 1 semester access (4 months)--$117.49 [price might be updated]. This option includes Math-252 (calc-III) next semester and any other classes this semester that are using Cengage products.

Online Homework:
All book versions [hardcopy, paperback, electronic] (California Ed.) include a WebAssign access code.
To register into your WebAssign course just click the "WebAssign" tab in your Math-252 in Canvas.
The online (WebAssign) homework will be available through Canvas

Prerequisites:
Math-151 (with a minimum of C [a C- is NOT enough!]) [ see General Catalog ].
Failure to provide prerequisites' documentation will directly result in the student being dropped.

Outline:

  1. Review
    • Math-151 material

  2. Vectors and The Geometry of Space
    • 12.1: Three-Dimensional Coordinate Systems
    • 12.2: Vectors
    • 12.3: The Dot Product
    • 12.4: The Cross Product
    • 12.5: Equations of Lines and Planes
    • 12.6: Cylinders and Quadric Surfaces

  3. 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

  4. Partial Derivatives
    • 14.1: Functions of Several Variables
    • 14.2: Limits and Continuity
    • 14.3: Partial Derivatives
    • 14.4: Tangent Planes and Linear Approximations
    • 14.5: The Chain Rule
    • 14.6: Directional Derivatives and the Gradient Vector
    • 14.7: Maximum and Minimum Values
    • 14.8: Lagrange Multipliers

  5. Multiple Integrals
    • 15.1: Double Integrals over Rectangles
    • 15.2: Double Integrals over General Regions
    • 15.3: Double Integrals in Polar Coordinates
    • 15.4: Applications of Double Integrals
    • 15.5: Surface Area
    • 15.6: Triple Integrals
    • 15.7: Triple Integrals in Cylindrical Coordinates
    • 15.8: Triple Integrals in Spherical Coordinates
    • 15.9: Change of Variables in Multiple Integrals

  6. Vector Calculus
    • 16.1: Vector Fields
    • 16.2: Line Integrals
    • 16.3: The Fundamental Theorem for 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: Stokes' Theorem
    • 16.9: The Divergence Theorem