MASTER SYLLABUS
A.
Academic Division: Liberal Arts, Education, Professional and Public Services
B.
Department: Mathematics & FYE
Discipline: Mathematics
C.
Course Number and Title: MATH1150 Calculus I
D.
Course Coordinator/Department Chair: John Falls
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Credit Hours: 5
F.
Prerequisites: MATH1130 -or- MATH1051 (Minimum grade of C- required)
G.
Syllabus Effective: Fall, 2012
H.
Textbook(s) Title:
Calculus (packaged w/Web Assign)
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Author(s): Larson
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Copyright Year: 2010
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Edition: 9th
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ISBN #: 978-0-538-780-810
I.
Workbook(s) and/or Lab Manual: None
J.
Course Description:
A study of analytic geometry, limits, continuity, the derivative, basic differentiation rules,
rates of change, the product and quotient rules, higher-order derivatives, the chain rule,
implicit differentiation, related rates, extrema on an interval, Rolle‘s Theorem and the
Mean Value Theorem. Function analysis includes increasing and decreasing functions
and the first derivative test, concavity and the second derivative test, limits at infinity and
curve sketching. Concluding topics include anti-derivatives, indefinite and definite
integrals, the Fundamental Theorem of Calculus, and integration by substitution.
Applications include optimization problems, Newton’s method, differentials, and areas of
planar regions. Successful completion of MATH1051 or MATH1130 or COMPASS
Trigonometry score of 46 or better or ACT Math score of 28 or higher required.
K.
Core Learning Outcomes:
Core Learning Outcomes
Communication – Written
Communication – Speech
Assessments - - How it is met & When it is met
All listed assignments are graded
Homework, tests throughout the course
Daily by dialogue in class
MATH1150 Calculus I
Master Syllabus
Page 2
Core Learning Outcomes
Intercultural Knowledge
and Competence
Critical Thinking
Information Literacy
Computation
L.
Assessments - - How it is met & When it is met
All listed assignments are graded
Application of problems to our culture
Homework, tests throughout the course
Homework, test throughout the course
Course Outcomes and Assessment Methods:
Upon successful completion of this course the student shall:
Assessments – How it is met
& When it is met
Determine the existence of, estimate numerically and Homework, Tests, Final Exam
graphically and find algebraically the limits of
functions. Recognize and determine infinite limits
and limits at infinity and interpret them with respect
to asymptotic behavior.*
Homework, Tests, Final Exam
Determine the continuity of functions at a point or
on intervals and distinguish between the types of
discontinuities at a point.*
Homework, Tests, Final Exam
Determine the derivative of a function using the
limit definition and derivative theorems. Interpret the
derivative as the slope of a tangent line to a graph,
the slope of a graph at a point, and the rate of change
of a dependent variable with respect to an
independent variable.*
Homework, Tests, Final Exam
Determine the derivative and higher order
derivatives of a function explicitly and implicitly and
solve related rates problems.*
Determine absolute extrema on a closed interval for Homework, Tests, Final Exam
continuous functions and use the first and second
derivatives to analyze and sketch the graph of a
function, including determining intervals on which
the graph is increasing, decreasing, constant,
concave up or concave down and finding any
relative extrema or inflection points. Appropriately
use these techniques to solve optimization
problems.*
Homework, Tests, Final Exam
Determine when Rolle’s Theorem and the Mean
Value Theorem can be applied and use those
theorems to solve problems.
Homework, Tests, Final Exam
Use differentials and linear approximations to
analyze applied problems.
Outcomes
MATH1150 Calculus I
Master Syllabus
Page 3
Outcomes
Determine antiderivatives, indefinite and definite
integrals, use definite integrals to find areas of planar
regions, use the Fundamental Theorems of Calculus,
and integrate by substitution.*
M.
Course Topical Outline:
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Assessments – How it is met
& When it is met
Homework, Tests, Final Exam
The limit of a function.
The limit of a function by use of the properties of limits.
The continuity of a function (including both removable and non-removable
discontinuities)
Infinite limits.
The derivative of a function by the definition.
The derivative of a function by the basic rules of differentiation.
Using the derivative to find the equation of a tangent line.
Use the derivative to calculate the instantaneous rate of change.
Derivatives of a function by using the product and quotient rules.
Higher-order derivatives.
Derivatives by using the chain rule.
Derivatives by implicit differentiation.
Related rates by differentiation.
The extrema on an interval.
Rolle’s Theorem and the Mean Value Theorem.
Problems involving increasing and decreasing functions and the first derivative
test.
The concavity of a function.
Maximums and minimums of a function using the second derivative test.
The limit of a function at infinity.
Curves using the maximum and minimum rules.
Optimization problems.
Problems using Newton’s Method.
Differentials.
Anti-derivatives and Indefinite Integration.
Area.
Riemann sums and definite integrals.
The Fundamental Theorem of Calculus.
Course Assignment:
Homework sets will be assigned and assessed.
Tests will be administered throughout the semester.
A departmental final examination will be given.
MATH1150 Calculus I
Master Syllabus
Page 4
O.
Recommended Grading Scale:
100-95
94-92
91-89
88-86
85-83
82-80
A
AB+
B
BC+
79-77
76-74
73-71
70-68
67-65
64-Below
C
CD+
D
DF