Mat 190 - Calculus and Analytic Geometry I – 4 credits
Fall 2005
Marion Graziano Math
Office: PH143
Phone: (215) 641-6607 School Cancellation #
E-mail address: mgrazia@mc3.edu Day: 320 Evening: 2320
Office Hours: posted on the
door; all others by appointment
M __________ Th ___________
T ___________ F ___________
W __________
Course Title: Calculus and Analytic Geometry I
Course Prefix and Number: MAT 190
Prerequisites: MAT 161 and 162 with a
minimum grade of "C" or consent of instructor
Course Description: A course designed
primarily for students who will major in mathematics, science, engineering, or
business. Topics include concepts from analytic geometry, limits,
differentiation and integration of algebraic and trigonometric functions, curve
sketching and applications. A graphing calculator is required for class,
homework, and testing. Classroom instruction and programs will be presented
using a TI-84+.
Textbook: Calculus, 8th edition,
by Larson, Hostettler, Edwards 2006, Houghton Mifflin.
Required
Materials: A TI-83, TI-83 Plus or TI-84 Plus graphing calculator. If a
student has a TI-83+, they do not need to buy a TI-84+.
Learning Goals:
Upon
completing this course, students should have the following knowledge and
skills:
1. Be able to verify the limit of a linear function by using
the 
definition of limit.
2. Be able to evaluate limits of many algebraic and trigonometric
functions, including one-sided and infinite limits, and limits at infinity.
3. Be able to discuss the continuity and points of
discontinuity of many algebraic and trigonometric functions.
4. Be able to differentiate and integrate many algebraic and
trigonometric functions.
5. Be able to apply knowledge of differentiation to curve
sketching and to solving maximum-minimum problems and related rates problems.
6. Be able to apply knowledge of integration to finding area.
7. Be able to apply knowledge of differentiation and
integration to solving rectilinear motion problems.
8. Be able to state and explain or illustrate some theorems,
including the Mean Value Theorem, the Mean Value Theorem for Integrals, and the
Fundamental Theorem of Calculus.
9. Be able to use the TI-83 Plus graphing calculator in
relevant Calculus I concepts.
Attendance
Policy: A
student is expected to attend all classes.
If a student misses more than two weeks worth of
classes, his/her grade will be lowered by one letter grade each additional
week.
If you are absent, please let me know so that I can
give you the assignment. It is the responsibility of the student to make up any
missed work, including material covered in class. If a student is having
difficulty he/she can come to my office and ask questions.
Lateness Policy: A lateness is treated the
same way as an absence.
Assignment/Test Make-Up
Policy
No
make-ups on quizzes or tests. If a student misses a test, the grade he/she
receives on the final will be substituted. This will only be done once.
If one has been there for all four tests, the final will replace the lowest
test grade.
Late Assignment Policy: Assignments will be deducted one letter grade per
class missed.
Class Participation: Students are encouraged to participate in class.
Withdrawal
Policy
If a student wishes to withdraw from the course,
the student must complete a formal withdrawal form. This form must be signed by
me. Any student who fails to officially withdraw from a course will receive a
grade of “F.” Withdrawals will be signed up to the sixth week of class.
Cheating and
Plagiarism Policy:
Academic Discipline: See page 21 of the College catalogue
Grade Changes and Challenges: See page 19 of the college catalogue
Methods of Evaluation
There will be five (5) major
tests as indicated in the syllabus. There will be quizzes and homework
assignments that will be turned in and graded. I will drop the lowest two
grades. There will be a final exam scheduled at the end of the semester during
finals week.
Criteria for Evaluation
Tests will be worth 100 points each, 10 quizzes and
worksheets will be worth 10 points each, and the final will be worth 200
points, Total 800 points.
|
A
= 90-100 |
B
= 80-89 |
C
= 70-79 |
D
= 60-69 |
F
= below 60 |
Class Cancellation Policy: For instructor illness -
phone chain. For inclement weather—radio: 320 (day), 2320 (evening)
Available Support Systems: Disk Supplement, Learning
Assistance Lab (LAL), Library, Computer labs, etc.
Classroom Expectations
1.
Arrive on time.
2.
No sharpening pencils during class.
3.
No cell phones or pagers turned on.
4.
Seek help immediately if you
don’t understand.
Students with Disabilities
Students with disabilities
may be eligible for accommodations in this course. Please contact the Director
of Services for Students with Disabilities in the
See
web page for sample tests, review sheets and class notes.
COURSE ASSIGNMENTS FOR MAT 190
TOPICS ASSIGNMENT: odd-numbered problems unless otherwise indicated
|
1. Functions &
relations review p3. |
Pg. 27, #7, 13, 25, 33, 55, 59, 67, 69, 73, 75, 95 Pg. 37, #3, 29, 35 |
|
2. Limits: graphical analysis (1.2-1.5 & 3.5) |
Pg 55 #9-17, 51; pg 67 #41, 43; Pg 78 #1, 3, 5 |
|
3. Limits: computational limit properties (1.2-1.5; 3.5) |
Pg 54 #1, 7; pg 67 #9, 15, 17, 21, 27-35, 51-59, 67-77, 81, 87, 93;
pg 76 #11-19; pg 88 #33-47; pg 205 #17, 21-33, |
|
4. Limits theoretical (1.2) |
Pg 56 #33 |
|
5. Continuity (1.4) |
Pg 78 #1-5, 25, 27, 31, 35, 37, 39, 45, 47, 51, 57, 67, 69, 73, 75,
79, 81 |
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6. The Derivative (2.1) |
Pg 103 #1, 3, 11, 13, 21,
23, 25, 27, 31, 43, 81, 83, 85, 87 |
|
TEST 1 |
|
|
7. Differentiation rules (2.2-2.3) |
Pg 115 #3, 9, 13, 17, 25,
27, 29, 35, 39, 41, 43, 45, 47, 49, 55, 57, 83-87; pg 124 #1, 5, 7, 9,
13, 15, 19, 21, 23, 25, 29, 35, 65, 69, 73, 93, 95, 103, 105, 129 |
|
8. Derivatives of trig functions (2.2-2.3) |
Pg. 115, #19-23, 37, 51,
61; pg 126 #5, 11, 17, 39-53, 59, 61, 67, 81 |
|
9. Chain rule |
Pg. 137 #7-33, 47-57, 67,
71, 83, 85, 114, 122 |
|
10. Graphs and derivatives (2.1, 2.3, 2.4) |
Pg 104 #37, 38, 39, 40; pg
126 #126, 109; pg 138 #91, 93; |
|
11. Applications: rate of change (2.2-2.4, 4.1) |
Pg 116 #67, 89, 91, 93, 103,
106; pg 126 #83, 87, 115, 116; pg 139 #103; pg. 158 #33, 35, 37; pg 257 #73,
77 |
|
TEST 2 |
|
|
12. Implicit differentiation (2.5) |
Pg 146 #1-17, 23, 25, 29, 47,
53, 57 |
|
13. Rolle’s Theorem and Mean Value Theorem (3.2) |
Pg 176 #1, 5, 13, 15, 19, 21,
29, 31, 35, 41, 43, 49, 51, 63, 75 |
|
14. Applications: related rates (2.6) |
Pg 154 #1, 5, 15, 19-23, 27,
33, 37, 39, 47-53; Pg 160 #109. 111 |
|
15. Extrema: maximum & minimum values (3.1) |
P. 169 #1-7, 13-17, 23-33,
37-41, 47, 51 |
|
16. Differentials & approximations |
Pg 240 #7, 9, 13, 17, 21, 27-37,
39, 43 |
|
TEST 3 |
|
|
17. Calculus graphing concepts (3.3-3.6) a. polynomial functions b. rational function c. radical function |
Pg 186 #17; 23, 27; pg 215 #25; 27, 29 Pg 195 #1-19; pg 215 #7, 9,
11, 17 Pg 186 #27; pg 215 #19, 23 |
d. trig functions e. using calculator f. graphing analytically |
Pg 195 #21; 25; pg 216 #41 Pg 216 #55, 59, 61 Pg 187 #55-59, 71, 97; pg
195 #47-57, 79, 81; pg 208 #105; pg 215 #1, 3, 47, 49, 67 |
|
18. Applications optimization |
Pg 223 #3, 5, 11, 13, 15,
19, 21, 25, 27, 29, 33, 39, 43, 45, 59 |
|
TEST 4 |
|
|
19. Integration (4.1) |
Pg 255 #1-41, 43, 55-59 |
|
20. Area & rectangular summation (4.2) |
Pg 267 #1, 5, 9, 19, 23,
27, 31, 43, 48, 49, 50 |
|
21. Fundamental theorem of calculus (4.4) |
Pg 291 #5-21, 27-31 |
|
22. Theorems & properties of the definite integral (4.3, 4.4) a. arc & the definite integral b. absolute value & definite integral c. Mean Value Theorem & Average Value |
Pg 278 #13, 17, 21, 23-31,
41; pg 291 #1, 3, 33-41, 55-59 Pg 291 #23, 24, 25, 26 Pg. 291 #45, 47, 49; pg. 318
#61 |
|
23. Integration by substitution (4.5) |
Pg. 304 #13, 17, 21, 27-31,
43-55, 57, 63, 65, 71, 73, 75, 79, 81, 99, 101-107, 125, 129 |
|
24. Applications of integration (4.1, 4.4, 7.1) a. area between two curves b. rectilinear motion c. vertical motion near earth’s surface |
Pg. 452 #1-7, 11, 17, 21,
27, 29, 31, 35, 39, 43, 49 Pg. 294 #97, 98 Pg. 257 #67, 75 |
|
25. The Second Fundamental Theorem of Calculus (4.4) |
Pg. 286 #75, 77 |
|
TEST 5 |
|
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26. Numerical integration |
Pg. 314 #13, 17 |
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27. |
Pg. 226 #5, 9 |