Syllabus

SYLLABUS

CALCULUS III / MA 503

SPRING SEMESTER 2008

OFFICE: Room # 101 PHONE NUMBER: (318) -357-3174 ext. 129 CLASS: Room # 208

E-mail address:Mjamil@lsmsa.edu

INSTRUCTOR: MAZHAR JAMIL

TEXT: Calculus (Graphical, Numerical, and Algebraic) by Finney,Thomas Demana & Waits.

COURSE Calculus III is a one-semester course design to acquaint students with the theory,

DESCRIPTION: techniques, and applications of Integral Calculus and vectors. The course, together with the prerequisite Integral Calculus, should prepare students for the Advanced Placement Calculus BC examination.

COURSE In order to demonstrate that a student is in the process of achieving the major course objectives, the

REQUIREMENT: student must be able to work problems on major tests and quizzes similar to those problems regularly assigned as homework. 5% of your grades are taken from homework assignments, homework is an integral part of the course and provides the means by which the student can learn mathematical concepts. It is doubtful that the student will be able to pass the course without working the homework assignments.

ATTENDANCE: Students are expected to be present and on time to every class. Attendance, including tardiness, will

be recorded and turned in daily. The tardiness (after 15 minutes tardiness become an unexcused

absent) will be recorded and turned in daily. Three tardiness will accumulate to one unexcused

absent and according to the school policy 4 unexcused absent will result in a failing grade in the

course. Students should note that absence from class, excused or unexcused, does not give students

the right to postpone quizzes or tests that follow and from the submission of homework. It is the

student's responsibility to look into the schedule or find out from the classmates what was done in class

and also about the homework. Unexcused absences and tardies will negatively affect the final grade.

RULES FOR 1. If any student has legitimate reason for being unable to take a test on any of the scheduled test days, TEST TAKING: that student must notify Mr. Jamil at least 2 days before the exam unless excused by the school.

2. If a student fails to take an exam or quiz on the scheduled test date without previously notifying Mr. Jamil, 10% points will be taken off of that student's test grade, and no bonus points will be available for that student.

GRADING: There will be five tests and a final. Pop quizzes and assignments will be administered throughout the

PROCEDURE: course. One lowest test and a quiz will be dropped before the final grade is given. Any testing may be cumulative. The final exam will be comprehensive. The break-up is as follows:

Tests 60%

Pop quizzes 10%

Assignments 5%

Class participation 5%

Final 20%

OFFICE HOURS: M 8:00 – 10:00 & 11:00 – 12:00 T 9:30 – 11:45 & 2:15 – 4:00 (by appointment only)

W 9:3 0 – 10:00 & 11:00 – 12:00 R 10:00 – 11:00 & 2:15 – 4:00 (by appointment only) F 9:30 – 10:00, 11:00 – 12:00

GUIDED STUDY: Mondays / Room #242 4:00 - 5:30

COURSE OUTLINE FOR CALCULUS III

DATE WEEK READING ASSIGNMENT

1 / 14 / 2008 1 Discuss syllabus and Review of Integrations

CHAPTER 7: HYPERBOLIC FUNCTIONS

7.9 Introduction, Definitions and identities

Derivatives and integrals, The inverse hyperbolic functions, Hanging cables

1 / 21 / 08 2 CHAPTER 9: SEQUENCES AND INFINITE SERIES

9.1 Limits of Sequences of Numbers

9.2 Infinite Series

9.3 Series without Negative Terms: Comparison & Integral Tests

1 / 28 / 08 3 9.4 Series with Nonnegative Terms: Ratio & Root Tests

9.5 Alternating Series and Absolute Convergence

1 / 30 / 2008 TEST # 1

2 / 4 / 2008 4 Mardi Gras Holiday

2 / 11 / 08 5 9.6 Power Series

9.7 Taylor Series and Maclaurin Series

CHAPTER 10: PLANE CURVES, PARAMETERIZATIONS, and POLAR COORDINATES

10.1 Conic Sections and Quadratic Equations

2 / 18 / 08 6 10.2 The Graphs of Quadratic Equations in x and y,

10.3 Parametric Equations for Plane curves

2 / 25 / 08 7 10.4 The Calculus of Parametric Equations

2 / 27 / 2008 TEST # 2

3 / 3 / 08 8 10.5 Polar Coordinates

3 / 10 / 08 9 10.6 Graphing in Polar Coordinates

10.7 Polar Equations of Conic Sections

3 / 12 / 2008 End of 1^st Grading Period

3 / 17 / 2008 10 Spring Holidays

3 / 24 / 08 11 10.8 Integration in Polar Coordinates

3 / 28 / 08 TEST # 3

Vectors and Analytic Geometry in Space

11.1 Vectors in Plane

3 / 31 / 08 12 11.2 Cartesian Coordinates and Vectors in Space

11.3 Dot Products

4 / 7 / 08 13 11.4 Cross Products

11.4 Lines and Planes in Space

11.5 Surfaces in Space

4 / 14 / 08 14 11.6 Cylindrical and Spherical Coordinates

4 / 16 / 2008 TEST # 4

FUNCTIONS OF TWO AND MORE VARIABLES AND THEIR DERIVATIVES

4 / 21 / 08 15 13.1 Functions of two or more independent variables

13.2 Limits and continuity

13.3 Partial derivatives

4 / 28 / 08 16 13.4 Chain rules

13.5 Directional derivatives and Gradient Vectors

13.6 Tangent Planes and Normal Lines

5 / 5 / 08 17 13.7 Linearization and Differentials Higher order derivatives

13.8 Maxima, Minima, and Saddle Points

5 / 7 / 08 TEST # 5

13.9 Lagrange Multipliers

CHAPTER 14: MULTIPLE INTEGRALS

5 / 12 / 08 18 14.1 Double integrals

14.2 Area, Moments, and Center of Mass

14.4 Triple integrals in rectangular coordinates, Volumes and Average Values

5 / 15 / 08 FINAL EXAM

The Instructor reserves the right to change any portion of this class guide by announcing the change during a scheduled class meeting.