KALAMAZOO VALLEY COMMUNITY COLLEGE
MATH 260 CALCULUS III
Course Outline
Instructor: Daniel Cunningham
Office: Room 7470
Office Hours:
To be announce
Office Phone: 488-4173
E-Mail:
CATALOG DESCRIPTION (5-5-0)
A Continuation of MATH 160, this course assumes a basic knowledge of derivatives and integrals. This course includes the analysis of the trigonometric functions and their inverses, methods of integration, an introduction to numerical methods, L’Hopital’s rule for indeterminant forms, improper integrals, sequences and series, and polar coordinates.
PREREQUISITE
Successful completion of MATH 160 a grade of 2.0 or better, or the equivalent.
TEXTBOOK AND MATERIAL
· CALCULUS early transcendental functions, (4th edition) by larson and edwards from Houghton Mifflin.
· Graphing calculator. The TI-83 or TI-83 plus from Texas Instruments is highly recommended
Attendance and Participation
Every session will be of great importance to your learning this course. However, if it is necessary to miss any class period(s), you will be responsible for any announcements made, sections covered, and assignments dropped off during your absence.
Regular attendance is essential for success in this class
.
Homework (12%)
Assignments will be given daily. A tentative list of dates, textbook sections, and problems is attached to this handout. Problems should be completed and ready to turn in by the next class period. Homework should be stapled and neat (answers circle).
Late assignments will not be accepted
In Class Assignment (10%)
In class assignment will be given at unannounced times throughout the semester. There will be no make-ups on missed Assignment; however, the lowest scores will be dropped.
Tests (60%)
Unexcused absent on a test day will be counted as a zero.
Final Exam (18%)
Final Exam (test 5) will be given during the last week of
class.
Final Grade
Your final grade will be based on the percentage of the total points earned during the semester. The grading scale is as follows:
Percent Grade Percent Grade
[90,100]...... 4.0 [70,75)...... 2.0
[85,90)...... 3.5 [65,70)...... 1.5
[80,85)...... 3.0 [60,65)...... 1.0
[75,80)...... 2.5 [0,60)...... 0.0
IF YOU ARE UNABLE TO COMPLETE THIS CLASS, PLEASE OFFICIALLY WITHDRAW. OTHERWISE, I AM OBLIGATED TO GIVE YOU A GRADE OF 0.0 WHICH BECOMES PART OF YOUR PERMANENT RECORD, INCLUDING YOUR G.P.A.
Grading
Your final grade will be based on the percentage of total points earned from your homework, tests, quizzes, and the Final Exam.
To calculate your grade find the percentage of each section and multiplied it by it respective course percentage and add those numbers together.
If you have earned at least a 90% in each section of the distribution of Grades, you will receive a grade of 4.0 and may be excused from taking the Final Exam.
If you have not met the above criteria, you must take the Final Exam
Academic Math Center
The Mathematics Center (room 2220) is a place where students can receive help in areas that they are struggling. Since there is no planned extra credit in this course, take advantage of this free service for KVCC students.
Academic Dishonesty
Any use of form of unauthorized aid or obtaining any help from another individual during test is considered cheating. Any student caught cheating on a test will automatically receive a ZERO for the test. A formal report will be filed. Dishonesty in academic work is considered a serious offense by the College community.
Tentative Assignment Schedule
(Material and dates may change to meet the need of the class)
Week Chapter Exercises
1 Introduction
10.1
10.2- plane Curves and parametric equation
10.3 – parametric equations and calculus
2 10.4-polor coordinates and polar graph
10.5-area and arc length in polar coordinates
10.6-polar equations of conics and kepler’s laws
review
3 TEST 1
11.1 –vectors in the plane
(overview/questions)
11.2 –space coordinates and vectors in space
4 11.3 – the dot product of two vectors
11.4 – the cross product of two vectors in space
11.5-lined and planes in space
11.6-surfaces in space
5 11.7-cylindrical and spherical coordinates
Review
TEST 2
12.1-vector-valued functions
6 (overview/questions)
12.2- differentiation and integration of vector-valued functions***
12.3-velocity and acceleration***
12.4-tangent vectors and normal vectors****
7 12.5-arc length and curvature***
review
TEST 3
13.1 –introduction to functions of several variables
8 (overview/question)
13.2-limits and continuity
9 13.3- partial derivatives
13.4-differential
13.5-chain rules for functions of several variables
13.6-directonal derivatives and gradients
10 13.6-directional derivative and gradient continue
13.7- tangent planes and normal lines
13.8 –extrema of functions of two variables
11 13.9- applications of extrema of functions of two variables
13.10-lagrange multipliers
(questions/Review)
TEST 4
14.1 – iterated integrals and area in the plane
12 (overview/questions)
14.2 –double integrals and volume
13 14.3 –change of variables: polar coordinates
14.4-center of mass and moments of inertria
14.5-surface area
14.6- triple integrals and applications
14 14.6-triple integrals and applications
14.7- triple integrals in cylindrical and spherical coordinates
14.8-change of variables: jacobians
Review
15 Final Exam –TEST 5
Students will need to spend a tremendous amount of time each day to complete daily assignments and to perform well in class.
My Grades: Keep a record of your grades:
Homework: 12% In class assignment: 10%
My points Total points My points Total points
______
______
______
______
______
______
______
______
______
______Total
______
______
______Add your total / total points possible
= ______% (decimal two places) *10=Q
______Tests: 60% My points Total points
______
______
______
______
Total
______
______
Add you total / total points possible =______% (decimal two places)*60=T
Total
Add you total / total points possible = ______% (decimal two places)*12=H
Final Exam (test 5): 18% My points Total points
Add you total / total points possible = ______% (decimal two places)*18=F
Final Grade add H+Q+T+F= ______%