Syllabus for Calculus I
A) INSTRUCTOR INFORMATION:
1) Name & Title: Richard Ganns, Instructor
2) Office location: 35256; office hours: 7:20 – 7:50 and 10:00 – 10:30 a.m.
daily, and any
time my door is open. Office hours are subject to adjustment;
Phone number: (360) 5965482.
B) COURSE INFORMATION:
1) Title: Math 151 Calculus I; Section: F ; Quarter: Winter 2009;
Room number: 35351; Hours: noon – 1:05 p.m. MTWF.
2) List of prerequisites and their justification: Math 141 and Math 142 or
appropriate testing.
These skills and knowledge are essential foundations for continuing development
in Math
151 and beyond. 3) Supplemental materials: see below.
C) TEXTS, OTHER READING AND MATERIALS:
1) Calculus, Volume 1, 2^{nd} Edition, by Ostebee and Zorn.
2) Instructor’s Supplement Packet (sold in the bookstore)
3) Homework Solutions Supplement Packet (sold in the bookstore)
4) An inexpensive scientific calculator: If you want a graphing calculator
(optional), Texas
Instruments (TI) calculators are popular on many campuses. This brand is not
required, but
is recommended because support is usually readily available, and the use of TI
models is
required in some courses and programs both at SPSCC and at other schools. Bring
your
calculator to class daily; do not plan to borrow one in class. A graphing
calculator is helpful
but not required. Calculator tutorials may be available through the bookstore or
Mathware
(phone 18002552468). Note that calculators
will not always be allowed on quizzes. An optional but useful freeware program
“MPP” can
be obtained from the instructor; it will run on Windows, and provides a wide
range of useful
tools.
D) STUDENT LEARNING OBJECTIVES:
1) College Wide Abilities for AA that are addressed in this course:
• Effective oral and written communication
• The ability to apply fundamental quantitative skills
• The ability to think logically and critically
• The ability to integrate and synthesize knowledge
2) Specific Learning Objectives for this course:
Upon the successful completion of this course, the student will be able to (with
regard to
the leading topic):
Define and compute average and instantaneous rates of changes of functions
Construct accurate graphs of functions via pencil and paper
Define and compute first and second derivatives
Estimate derivatives graphically and numerically
Describe the geometry of first and second derivatives
Define continuity at a point and on an interval
Compute derivatives of elementary functions
Define limit and compute limits of functions
State and use basic derivative formulas for various elementary functions
Recognize selected simple ordinary differential equations and their use in
modeling motion
State and use the product and quotient rules for derivatives
State and use chain rule for derivatives
Execute implicit differentiation and interpret the results geometrically
Solve simple optimization problems
Solve simple related rates problems
State and describe: Intermediate, Extreme, and Mean Value Theorems
Describe the bisection method for determining roots of functions
Use personal computer graphing technology in selected exercises
Solve additional selected physical application problems as time permits
State and use Newton’s method as time permits
E) COURSE DESCRIPTION:
1) General description, topics to be covered: The first course in a series of
four in calculus.
Topics include:
Functions
Graphs
Functions
Rates
Estimating derivatives
Geometry of derivatives
Geometry of Second derivatives
Defining the derivative
Derivatives of polynomials, EVT
Limits
Derivative formulas
Log/Exp derivatives
Sine, cosine derivatives.
Product, quotient rules
Chain rule
Implicit differentiation
Derivatives: more practice
Optimization
Related rates
IVT, EVT, bisection method
MVT
Newton’s method [if time]
Use of computer algebra and graphing technology
Selected physical applications as time permits
ODEs, modeling motion (if time permits)
2) General instructional methods: Lecture, class
discussion, group work in and out of class.
Final Grades: will be available through the touchtone
system early in the week following final exams
and via the campus website. You may also request notification via email (give
the instructor you address).
Plagiarism: All work submitted for a grade must be the
student's own: copying from any
unacknowledged source may result in a failing grade for the course and possible
disciplinary action by
the college including expulsion. On inclass tests, this simply means: don't
look at your neighbor's
paper, and don't use unapproved notes or calculators.
More formally: “Academic honesty: Breach of any of the
categories (cheating and plagiarism) found in
the document Statement of Academic Honesty may result in dismissal from the
college as outlined in
the Code of Student Rights and Responsibilities. A copy of the document on
Academic Honesty may
be found on the SPSCC intranet. Knowledge of the information contained in these
documents is the
student’s responsibility.”
G) TENTATIVE COURSE SCHEDULE:
1) Daily or weekly schedule for this section of this course: see attached
tentative calendar.
2) Due dates for exams: see attached tentative calendar.
3) Use of packets that students might buy at the bookstore: a supplement packet
is required (be
sure to get the one with the instructor’s name on it), and a scientific
calculator.
PREREQUISITE TOPICS FOR MATH 151 CALCULUS I
* Topics from Math 140 College Algebra and Math 141
Precalculus I:
 Exponents, radicals : ability to manipulate, simplify,
rationalize numerator/denominator
 Expressions: manipulate, simplify
 Equations: manipulate & solve linear,
quadratic, radical, rational
 Story problems: variable declaration , organization, justification of
equations;
 Inequalities : linear, compound, nonlinear, absolutevalued; sign diagram
method of solving
nonlinear;
 Cartesian plane graphs: linear, quadratic, power function, root function,
rational; symmetry
tests for relations;
 Elementary functions: notation, domain, range, even/odd, combinations,
composites; NOTE:
this includes log and exponential functions;
 Absolute value function:
 Quadratic functions : factoring, completing the square, graphing, solving for
roots:
 Inverse functions: definition, notation, domain & range, graphing;
 Polynomial functions: factoring , dominant terms ;
 Division; remainder theorem; polynomial long division , synthetic division
 Solving P_{n}(x) = 0 using Descartes’ rule of signs, root theorems,
rational root theorem,
synthetic
division;
 Rational functions: domain, asymptotes, graphing;
 Exponential functions: basee and general base, notation, properties , graphs,
growth and decay
concepts
 Logarithmic functions: basee and general base, notation, properties, graphs,
equations;
 Log & exponential models: fitting curves to data; finding doubling times and
halflives;
 Log/exp. equations; base change formula;
 Compound interest formula;
 Geometric objects: circle, sphere, cone, cylinder, triangle;
* Topics from Math 142 Precalculus II:
 Angles: definition of radian; conversion between radians
and degrees;
 Trig functions : names, relations, domains, ranges, graphs, righttriangle &
unit circle
definitions,
 Identities: basic knowledge, ability to manipulate, develop, prove
 Equations: solving on intervals and on
 Reference angle and standard reference triangles, use in evaluating functions
and solving
equations;
 Addition formulas, multiangle formulas;
 Inverse functions: graphs, use in solving problems, trigonometric
substitution ;
 Laws of sines, cosines use in applications;
 Trigonometric substitution;
 Vectors: notation, definitions, properties, unit vectors, use in applications,
force, velocity,
work;
 Polar coordinates: conversions from/to Cartesian; polar graphs;
 Parametrized curves;
 Conic sections: able to complete the square in second degree expressions and
equations and
graph the conic sections (focus, directrix not needed);
 Nonlinear systems involving second degree equations: represent solution sets
as intersections of
conic sections
MATH 151 CALCULUS I HOMEWORK ASSIGNMENTS FROM
OSTEBEE & ZORN VOLUME I, 2^{nd} Edition
Text 
# Days 
Topics 
Assigned Homework Problems 




1.1 
1½ 
Functions 
141 odd 
1.2 
3 
Graphs 
153 odd, 5965 odd 
1.3 
3 
Functions 
149 odd 
1.4 
2½ 
Rates 
133 odd, 34, 35, 41, 43, 44, 4563 odd 
1.5 
1 
Estimating derivatives 
127 odd, 30 
1.6 
1½ 
Geometry of derivatives 
115 odd, 1619, 2123, 2532, 34, 46, 49, 50, 53, 54 
1.7 
½ 
Geometry of 2^{nd} derivatives 
115 odd, 1619, 2427, 3033, 35, 36 
2.1 
2 
Defining the derivative 
1, 3, 5, 711, 29, 31, 3337, 4145, 4753, 55, 57 
2.2 
1 
Derivatives of polynomials 
EVT; 137 odd, 4555 odd, 61, 63, 65, 66, 68, 69 
2.3 
5 
Limits 
19 odd, 4, 8, 1026, 2735 odd, 37, 3955, 57, 58, 



61, 6368 
2.4 
1 
Derivative formulas 
111, 1319, 2127 odd, 3147 odd, 56, 57, 61 
2.6 
2½ 
Log/Exp derivatives 
147 odd (DE’s optional; 1525 graphing optional), 51, 53, 61, 



65, 67, 69 
2.7 
1 
sine, cosine derivatives 
14, 735 odd, 43, 45, 65, 67; use grapher to 



check sketches. 
3.1 
1 
Product, quotient rules 
141 odd, (2141 graphs optional). 
3.2 
2 
Chain rule 
127 odd, 37, 39 
3.3 
1 
Implicit differentiation 
1, 3, 5, 6, 811, 15, 16, 19, 20, 21, 27 
3.5 
1½ 
Derivatives: more practice 
161every other odd, 39. Skip antiderivatives. 
4.3 
2 
Optimization 
129 odd (#17 optional), 4, 10, 24, 26, 28, 30 
4.5 
2 
Related rates 
129 odd (#15 optional), 1828 even 




As time permits: 






4.8 
1 
IVT, EVT, bisection method 
110, 17, 19, 30, 3539 
4.9 
½ 
MVT 
115 odd, 1627, 29, 31, 33 
4.6 
½ 
Newton’s method [if time 
1, 3, 4, 15, 21 
2.5 
1 
ODEs, modeling motion 
127 odd, 2831 
Homework also includes selected items in the supplement
packet.
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