MATH 227 Section 001: Calculus III

This course covers the last third of the basic calculus sequence. Topics include analytic geometry in space, vector-valued functions and motion in space, functions of two or more variables and their partial derivatives, applications of partial differentiation (including Lagrangian multipliers), quadric and cylindrical surfaces, and multiple integration (including Jacobian) and applications, line integrals, Green's Theorem, curl and divergence, surface integrals, and Stokes Theorem.

1. Students will be able to identify key concepts in the arts, sciences, humanities, or mathematics to provide a broad perspective. 

2. Students will be able to demonstrate effective written communication skills.

 

 

1. Students will demonstrate a basic understanding of the multi-dimensional aspects of calculus and its applications.<br>

2. Students will learn to work with parametric representations of curves and surfaces and be able to do standard calculations using them.<br>

3. Students will be able to do routine calculations of partial derivatives.<br>

4. Students will be able to apply partial derivatives to various applied problems such as working with Lagrange multipliers. <br>

5. Students will be able to solve multiple integration problems and their applications.<br>

6. Students will learn the basics of vector analysis and be able to apply Green?s, Stokes?, and the divergence theorems.<br>

10 Vectors and the Geometry of Space

(review 10.1 ? 10.5 and cover 10.6 ? 10.9)<br>

11 Partial Derivatives (cover 11.1 ? 11.8)<br>

12 Multiple Integrals (cover 12.1 ? 12.8)<br>

13 Vector Calculus (cover 13.1 ? 13.9)<br>

Test 1

Tuesday, September 15, 6:30-7:50 pm (Comprehensive)

 

 

Test 2

Tuesday, October 6, 6:30-7:50 pm (Comprehensive)

 

 

Test 3

Tuesday, October 27, 6:30-7:50 pm (Comprehensive)

 

 

Test 4

Tuesday, November 17, 6:30-7:50 pm (Comprehensive)

 

 

FINAL EXAM

Wednesday, December 9, 3:30-6:00 pm. (Comprehensive)

 

 

Note that each exam will be a comprehensive written exam, that is, each exam will be based on ALL previous work in the course. <font color="aa0022">Please note also that the use of electronic devices (calculators, cell phones etc.) will not be permitted during tests.</font>

The WebAssign homework will count 15% of your final course grade.

Also there are four test scores. The final exam will be counted twice giving a total of six scores each out of 100. The lowest of these scores will be dropped and your test grade then determined using the five remaining scores, each weighted equally. The average score will determine your test grade for the course. (Thus effectively, your final exam if it is higher than some intermediate test, will replace that test score.) The test score will count 85% towards your final course grade. I will then add your average test score, based out of 85%, to your homework score, based out of 15%, to obtain the final course grade.

There will be no make-ups for missed exams. If you miss a test then that will count as your dropped grade. If you miss further tests, and have a reasonable excuse for so doing, then your final will count the appropriate amount more. Make sure that you do not miss the final exam!  

 

 

Your grade for the

course will be based on the following scale:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

A+	[97,100)	A	[92,97)	A-	[90,92)
B+	[87,90)	B	[82,87)	B-	[80,82)
C+	[77,80)	C	[72,77)	C-	[70,72)
D+	[67,70)	D	[62,67)	D-	[60,62)
F	[0,60)

 

1. <b>Text</b>: Essential Calculus: Early Transcendentals by J. Stewart, published by Brooks/Cole. <br>

 

2. WebAssign. This requires the purchase of an access code either online or when you purchase the textbook for the course. <br>

 

3. A calculator for aid in doing homework problems. <font color="aa0022">Please note also that the use of electronic devices (calculators, cell phones etc.) will not be permitted during tests.</font>

All students in attendance at the University of Alabama are expected to be honorable and to observe standards of conduct appropriate to a community of scholars. The University expects from its students a higher standard of conduct than the minimum required to avoid discipline. Academic misconduct includes all acts of dishonesty in any academically related matter and any knowing or intentional help or attempt to help, or conspiracy to help, another student.

The Academic Misconduct Disciplinary Policy will be followed in the event of academic misconduct.

If you are registered with the Office of Disability Services, please make an appointment with me as soon as possible to discuss any course accommodations that may be necessary. If you have a disability, but have not contacted the Office of Disability Services, please call 348-4285 or visit 133-B Martha Parham Hall East to register for services. Students who may need course adaptations because of a disability are welcome to make an appointment to see me during office hours. Students with disabilities must be registered with the Office of Disability Services, 133-B Martha Parham Hall East, before receiving academic adjustments.

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