Filetype PDF | Posted on 26 Jan 2023 | 3 years ago
Authentication
digital resources
325x Filetype PDF File size 0.10 MB Source: www.jscc.edu
Department of Mathematics
Last Day to Drop or Withdraw from Classes: (Verify Date on calendar or with Records Office)
MATH 1910 Calculus I
Credit Hours
4 credit hours
Course Description
Topics include functions and models, limits, derivatives, differentiation rules, applications of
differentiation, antiderivatives, integrals, area, applications.
Prerequisite Course(s)
MATH 1710 (Precalculus) and MATH 1720 (Trigonometry) or equivalent
Textbook(s) and Other Course Materials
st
Briggs/Cochran. Calculus for Scientists and Engineers: Early Transcendentals. 1 edition,
packaged with MyMathLab, Pearson.
Graphing calculator required
I. Week/Unit/Topic Basis:
1. Algebra review, limits
2. Definition of limits, computing limits, infinite limits
3. Limits at infinity, continuity, test 1
4. Derivative, differentiation rules, product and quotient rules
5. Derivatives of trig functions, rates of change, chain rule
6. Implicit differentiation, derivatives of log and exponential and inverse trig functions, related
rates
7. Review, test 2
8. Maximum/minimum
9. Graphing functions, optimization problems
10. Linear approximation and differentials
11. Mean value theorem, L’Hopital’s Rule
12. Review, test 3
13. Antiderivatives, area under curve, definite integrals
14. Fundamental theorem of Calculus, substitution rule
15. Review, test 4, final
II. Course Goals*:
The course will:
A. Guide students to become familiar with all descriptive aspects of a function. VI. 1 – 6
B. Develop the concept of a limit of a function. Enhance students’ ability to find the limit of a
function graphically, algebraically, and through using L’Hopital’s Rule. VI. 1 – 6
C. Build skills to calculate derivatives of algebraic and transcendental functions. VI. 1 – 6
D. Pose real and technical problems mathematically. VI. 1 – 6
E. Apply limits and derivatives to solve real and technical problems. VI. 1 – 6
F. Guide students to interpret and communicate mathematical problems and their solutions into
clearly written English. VI. 1 – 6
G. Build skills to calculate area and perform integration of algebraic and transcendental functions.
VI. 1 - 6
*Roman numerals after course goals reference the General Education Goals of the Mathematics
program.
Revised Fall 2013
III. Expected Student Learning Outcomes:
Upon successful completion of this course, a student should be able to:
A. Evaluate a limit, algebraically, graphically, analytically. A,B
B. Calculate limits using the limit laws. A,B
C. Calculate limits using L’Hopital’s Rule. A,B
D. Apply the definition for ‘continuity of a function at a point or on an interval’. A
E. Use limits to determine tangents, velocities, and other rates of change. A
F. Determine the derivative of an algebraic function using the basic rules of differentiation. A,C
G. Solve problems involving rates of change. C,E,F
H. Solve application problems involving marginal analysis. C,E,F
I. Use the product, quotient, rule, and/or the generalized power rule to find the derivative of a
function. A,C
J. Find higher-order derivatives and apply them in a given situation. A,C
K. Differentiate a function, implicitly. A,C
L. Solve problems involving the differential of a function. A,C
M. Solve application problems involving related rates. C,D,E,F
N. Solve problems involving increasing and/or decreasing functions. A,C
O. Solve problems involving the relative/absolute extrema of a function. A,C
P. Solve application problems involving the theory of extremes. C,D,E
Q. Solve optimization problems using the derivative. C,D,E,F
R. Determine antiderivatives for a given function. A
S. Evaluate indefinite integrals in which the integrand is algebraic. A
T. Use the fundamental theorem of integral calculus. A
U. Solve application problems using an appropriate differential equation. D,F
V. Evaluate a definite integral. A,G
W. Find the area of a bounded region. A,G
X. Use the substitution rule to integrate a function. A,G
IV. Evaluation:
A. Testing Procedures: (85% minimum – with the final counting 20% minimum)
Students are evaluated primarily on the basis of tests and a final exam. A minimum of 3 tests
and the final exam are suggested. In addition, instructors may consider using quizzes,
homework, or other assignments for assessment as deemed appropriate.
B. Laboratory Expectations:(15% minimum)
Instructor should use MyMathLab to investigate and analyze data in support of classroom
lectures.
C. Other Evaluation Methods:
None
D. Grading Scale (any differences will be provided in writing by the instructor)
A = 92 - 100
B = 82 - 91
C = 72 - 81
D = 62 - 71
F = Below 62
Revised Fall 2013
V. Policies:
A. Attendance Policy:
Attendance is of utmost importance in study abroad courses. There are no unexcused
absences permitted. Unexcused absences are grounds for removal from the program. Being
in class on time is also very important. Frequent tardiness will be considered an absence and
appropriate action will be taken. Absences due to illness must be reported immediately to the
program director.
B. Academic Dishonesty:
Academic misconduct committed either directly or indirectly by an individual or group is
subject to disciplinary action. Prohibited activities include but are not limited to the following
practices: Cheating, including but not limited to unauthorized assistance from material,
people, or devices when taking a test, quiz, or examination; writing papers or reports; solving
problems; or completing academic assignments. In addition to other possible disciplinary
sanctions that may be imposed as a result of academic misconduct, the instructor has the
authority to assign either (1) an F or zero for the assignment or (2) an F for the course.
VI. Instructional Hours:
Instructional time spent in a formal classroom setting with occasional lab/calculator work.
Revised Fall 2013
no reviews yet
Please Login to review.
