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# 2013NCCMAT111 Syllabus

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### 2013NCCMAT111 Syllabus

1. 1. 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
2. 2. 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. http://shadowfaxrant.blogspot.com http://www.youtube.com/calcpage2009
3. 3. 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) http://shadowfaxrant.blogspot.com http://www.youtube.com/calcpage2009
4. 4. Course Outline and Assignments Unit 2 ClassDayDate Sec Topic HWK 5 T 2013.0709 PostTest Review 4.1 4.2 4.3 Exponential Functions Exponential vs. Linear Exponential Graphs mult5 6 W 2013.0710 Homework Review 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) http://shadowfaxrant.blogspot.com http://www.youtube.com/calcpage2009
5. 5. Course Outline and Assignments Unit 3 ClassDayDate Sec Topic HWK 9 M 2013.0715 PostTest Review 6.1 6.2 6.3 6.4 6.5 Shifts Reflections Vertical Stretches Horizontal Stretches Combinations mult5 10 T 2013.0716 Homework Review 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 11 W 2013.0717 Homework Review 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 12 θ 2013.0718 Homework Review PreTest Review Exam 3 (Ch 6-8) http://shadowfaxrant.blogspot.com http://www.youtube.com/calcpage2009
6. 6. Course Outline and Assignments Unit 4 ClassDayDate Sec Topic HWK 13 M 2013.0722 PostTest Review 9.1 9.2 9.3 10.1 10.2 Trig Identities Sum and Difference Trig Models Compositions Invertibility mult5 14 T 2013.0723 Homework Review 10.3 11.1 11.2 11.3 Combinations Power Functions Polynomial Functions Short-Run Behavior mult5 15 W 2013.0724 Homework Review 11.4 11.5 11.6 11.7 Rational Functions Short-Run Behavior Power vs. Exponential Fitting Exponential Data mult5 16 θ 2013.0725 Homework Review PreTest Review Exam 4 (Ch 9–11) http://shadowfaxrant.blogspot.com http://www.youtube.com/calcpage2009
7. 7. Course Outline and Assignments Unit 5 ClassDayDate Sec Topic HWK 17 M 2013.0729 PostTest Review 12.1 12.2 12.3 12.4 12.5 Vectors Components Applications Dot Product Matrices mult5 18 T 2013.0730 Homework Review 13.1 13.2 13.3 13.4 14.1 Sequences Arithmetic Series Geometric Series Infinite Geometric Series Parametric Equations mult5 19 W 2013.0731 Homework Review 14.2 14.3 14.4 14.5 14.6 Implicit Curves Ellipses Hyperbolas Conics Hyperbolics mult5 20 θ 2013.0801 Homework Review PreTest Review Exam 5 (Chap 12-14) http://shadowfaxrant.blogspot.com http://www.youtube.com/calcpage2009