2013NCCMAT111 Syllabus

Syllabus
NCC
Math 111
Summer Session II 2013
Title:
PreCalculus: Elementary Functions (4cr.)
Text:
PreCalculus: Functions Modeling Change
By Connally, Hughes-Hallett, et al, 4th
Edition, Wiley Publisher
Description:
MAT 111 is a primer course for the study of Calculus. The
function concept plays a unifying role in the study of
polynomial, rational, exponential, logarithmic and
trigonometric functions. The modeling of elementary functions
is stressed throughout the course along with a basic
philosophy of examining the function concept using the Rule of
Four (Graphically, Numerically, Analytically and Wordily).
Technological support using a Graphing Calculator is
integrated throughout the semester.
Prerequisite:
At least 75% average in three years of high school
mathematics (including trigonometry) or at least a C in MAT
109.
Topics:
• Chapter 01: Linear Functions and Change
• Chapter 02: Functions in General
• Chapter 03: Quadratic Functions
• Chapter 04: Exponential Functions
• Chapter 05: Logarithmic Functions
• Chapter 06: Transformations of Functions
• Chapter 07: Trigonometry in Circles and Triangles
• Chapter 08: Trigonometric Functions
• Chapter 09: Trigonometric Identities
• Chapter 10: Combinations of Functions
• Chapter 11: Polynomial and Rational Functions
• Chapter 12: Vectors and Matrices
• Chapter 13: Sequences and Series
• Chapter 14: Parametrics and Conics
http://shadowfaxrant.blogspot.com http://www.youtube.com/calcpage2009

Syllabus
NCC
Math 111
Summer Session II 2013
General Course Requirements:
• 100% attendance
(1 day grace, if you miss 5 < t < 30 min of class = 1/4 day,
if you miss 31 < t < 60 min = 1/2 day, if you miss t > 60
min = 1 day, 1 day = 5 pts: participation exam grade)
• 15 homework sets
(due next day, 3 hours outside of class per night including
math center - see below)
• 5 cumulative exams
(one each week)
Daily Class Requirements:
TI-83, Text, Homework, Notebook, Pencil
Math Center Requirement:
As part of this course, students should avail themselves of
further study and/or educational assistance in the Mathematics
Learning Center (B130, B126). These activities and use of the
resources provided are deemed an integral part of the course
and will help the student master necessary knowledge and
skills. Please make sure to make use of this resource!
CCS:
If you are in need of special services, you are responsible for
contacting CCS.
Placement:
You are responsible for correct placement in this course and all
pre-requisites.

Course Outline and Assignments
Unit 1
ClassDayDate Sec Topic HWK
1 M 2013.0701 Administrativa
1.1
1.2
1.3
1.4
Function Notation
Rate of Change
Linear Functions
Formulas
mult5
2 T 2013.0702 Homework Review
1.5
1.6
2.1
2.2
2.3
Geometric Properties
Fitting Linear Data
Input and Output
Domain and Range
Piecewise-Defined Functions
mult5
3 W 2013.0703 Homework Review
2.4
2.5
3.1
3.2
Composites and Inverses
Concavity
Quadratic Functions
Vertex of a Parabola
mult5
4 M 2013.0708 Homework Review
PreTest Review
Exam 1 (Ch 1-3)

Unit 2
5 T 2013.0709 PostTest Review
4.1
4.2
4.3
Exponential Functions
Exponential vs. Linear
Exponential Graphs
mult5
4.4
4.5
5.1
Compound Interest
The Number e
Properties of Logarithms
mult5
7 θ 2013.0711 Homework Review
5.2
5.3
5.4
Logarithms vs.
Exponentials
The Logarithmic Function
Logarithmic Scales
mult5
8 F 2013.0712 Homework Review
PreTest Review
Exam 2 (Ch 4+5)

Unit 3
9 M 2013.0715 PostTest Review
6.1
6.2
6.3
6.4
6.5
Shifts
Reflections
Vertical Stretches
Horizontal Stretches
Combinations
mult5
7.1
7.2
7.3
7.4
7.5
7.6
Periodic Functions
Sine and Cosine Functions
Sine and Cosine Graphs
Tangent Function
Right Triangles
nonRight Triangles
mult5
8.1
8.2
8.3
8.4
8.5
8.6
Radians and Arc Length
Sinusoidal Functions
Trigonometric
Relationships
Trigonometric Equations
Polar Coordinates
Complex Numbers
mult5
PreTest Review
Exam 3 (Ch 6-8)

Unit 4
9.1
9.2
9.3
10.1
10.2
Trig Identities
Sum and Difference
Trig Models
Compositions
Invertibility
mult5
10.3
11.1
11.2
11.3
Combinations
Power Functions
Polynomial Functions
Short-Run Behavior
mult5
11.4
11.5
11.6
11.7
Rational Functions
Short-Run Behavior
Power vs. Exponential
Fitting Exponential Data
mult5
PreTest Review
Exam 4 (Ch 9–11)

Unit 5
12.1
12.2
12.3
12.4
12.5
Vectors
Components
Applications
Dot Product
Matrices
mult5
13.1
13.2
13.3
13.4
14.1
Sequences
Arithmetic Series
Geometric Series
Infinite Geometric
Series
Parametric Equations
mult5
14.2
14.3
14.4
14.5
14.6
Implicit Curves
Ellipses
Hyperbolas
Conics
Hyperbolics
mult5
PreTest Review
Exam 5 (Chap 12-14)

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2013NCCMAT111 Syllabus