Department of Mathematics, NCSU

Department of Mathematics, NCSU

MA 242, Calculus III

Summer Session II

June 26 – July 28, 2017

(1) There are 4 scheduled tests during the summer session I. Note that the tests occur on different week days.

(2) TEXT: "Calculus for Engineers and Scientists ", 1st Edition, by J. Franke, J. Griggs, and L. Norris

(3) Students are required to do WebAssign homework, and that work should be counted about 10% of the total grade. Students must register with WebAssign and pay the fees for homework grading and the textbook.

(4) Maple Homework Assignments:

·  There are 6 scheduled Maple Homework assignments distributed throughout the summer session, and this homework should count about 10% of the total grade. The "Start" and "Due dates" are listed below on the day-by-day schedule. The "start" dates have been adjusted so that the Maple Homework materials correspond to the lecture materials.

·  Maple tutors are available each week in the Multi Media Center in 2103/2105 SAS Hall. Please see the schedule for hours of operation at the URL http://www.math.ncsu.edu/mmc/index.php .

·  It is the responsibility of each student to (1) download the Maple Lessons from the web, (2) study the Lessons, and (3) complete the Maple Homework assignments on time.

·  All materials related to the Maple program can be found at the URL http://www.math.ncsu.edu/calculus

·  Students with no previous Maple experience: Such students in MA 242 need to follow the instructions in the "Introductory Materials". These instructions are posted on the calculus with Maple homepage listed above.

·  Extensions on Maple Homework: Short extensions on Maple homework can only be given for appropriate situations. Students must request extensions from their lecture instructor.

Date / Section / Topics
6/26 / 1.1
1.2
1.3 / 3-D Coordinate Systems
Vectors
Begin: The Dot Product
6/27 / 1.3
1.4 / Continue with: The Dot Product
The Cross Product
Maple Lab #0: Review
Maple Lab #1: Vectors (Both Assignments are due 7/3)
6/28 / 1.5 / Equations of Lines and Planes
6/29 / 2.1
2.2 / Vector Functions & Space Curves
Derivative and Integrals of Vector functions; parameterized Curves; Applications to Physics and Engineering;
Projectile motion; (OPTIONAL: isotropic oscillator)
6/30 / 2.3
2.4
2.5 / Fundamental quantities for curves: Tangent vector, Arc Length & Curvature
Intrinsic geometry of curves; osculating plane and circle, and formula #46 in the textbook:

7/3 / Monday / Review and Test #1
7/4 / Tuesday / 4th of July Holiday – no classes
7/5 / 3.1
3.2 / Multivariable Functions
Limits and Continuity
7/6 / 3.3
3.4 / Directional Derivative; Partial Derivatives, higher derivatives
Tangent Planes and Linear approximations
Differentiability of multivariable functions
7/7 / 3.4
3.5 / Finish Differentiability of multivariable functions
The Directional Derivative and the Gradient
The Chain
Maple Lab #2: Applications of the Gradient (Assignment due 7/12)
7/10 / 3.6
3.7 / Optimization
Lagrange multipliers (optional, time permitting)
7/11 / Tuesday / Review and Test #2
Date / Sections / Topics
7/12 / 4.1 / Double Integrals Over Rectangles; Iterated integrals
Double Integrals Over General Regions
Maple Lab #3: Regions in the Plane (Assignment is due 7/17)
7/13 / 4.2
4.3 / Applications of Double Integrals
Begin Triple Integrals; applications of triple integrals
7/14 / 5.1
5.2 / Double Integrals in Polar Coordinates
Begin Triple integrals; applications of triple integrals
7/17 / 5.2
5.3 / Triple Integrals in Cylindrical Coordinates;
Triple Integrals in Spherical Coordinates
7/18 / Tuesday / Review and Test #3
7/19 / 6.1
6.2
6.3 / Vector Fields
Line Integrals of functions – First review parametrized curves from
Section 2.2
Begin line integrals of vector fields
7/20 / 6.3
6.4 / Line integrals of vector fields; The Fundamental Theorem for
Line Integrals
Conservative vector fields and potential functions
Parametric surfaces
Maple Lab #4: Parameterized Surfaces (Assignment is due 7/27)
7/21 / 6.5 / Surface Area of parameterized surfaces
Surface integral of a Function
Surface Integral of Vector Fields
Maple Lab #5: Surface, surface area and flux integrals
(Assignment is due 7/28)
7/24 / 7.1
7.2 / Integral Curves of Vector Fields
Divergence and Curl of a Vector Field; Differential Identities
7/25 / 7.3 / Green’s Theorems for Circulation and Flux
7/26 / Wednesday / Review and Test #4
7/27 / 7.4
7.5 / Stokes’ Theorem
The Divergence Theorem
7/28 / 7.6 / Integration on Manifolds
REVIEW – Last day of classes
7/31 / Monday / Final Exams
8/01 / Tuesday / Final Exams