MTHM 122 – Technical Mathematics II
LCCC Math at LCJVS
Spring 2015
Course Description:
A continuation of Technical Mathematics I which includes Algebra (systems of non-linear equations, non-linear inequalities, roots of polynomials, geometric series and the Binomial Theorem), basic statistics, empirical curve-fitting, analytic trigonometry (identities, equations and graphs) and analytic geometry (conic sections, parametric equations and polar coordinates). Emphasis is on technical applications and problem-solving skills including the appropriate use of technology. Graphing calculator required.
Instructor: Tamera Melnyk
Office/Classroom: B100
Office Hours: By appointment only (11:15am – 12:30pm and after 2:15pm daily)
Email: Phone: (440) 774-1051 ext. 2469
Text: Technical Mathematics with Calculus, Vol. 1, Second edition, Ewen, Gary, and Trefzger, Prentice/Hall 2005.
Required and provided for classroom use: Graphing calculator TI-84+ SE, used extensively in this course.
Grades will be based on: Grading Scale:
Homework 100 90% - 100% A
Tests (4) 400 80% - 89% B
Quizzes (4) 100 70% - 79% C
Participation 20 60% - 69% D
Final exam 200 0% - 59% F
Total Points 820
Academic Dishonesty: Academic dishonesty is taken seriously at both LCCC and LCJVS. Cheating in ANY form will not be tolerated. Details on the issue of academic honesty and/or plagiarism can be found in the Lorain County JVS student handbook on page 16 (Rule #10).
Attendance: Good attendance is a critical part of learning and of passing the course. If a class is missed, it is your responsibility to make sure that work missed is completed and turned in, in a timely manner.
College Credit: Students receiving a B grade or higher for the semester will receive (3) college credits for this course. LCCC requires a copy of the transcript be shown.
Disabilities: As required by law, appropriate accommodations will be made for students with documented disabilities. If you have a disability requiring accommodations in this class, please notify your instructor immediately. THIS INFORMATION WILL BE KEPT CONFIDENTIAL.
Grading: Your grade will be based on homework, quizzes, tests, participation, and a comprehensive final exam.
Homework: It is extremely important that you do homework on a daily basis. Questions on the homework will be answered during class. Homework will be collected daily. The 4 quizzes will be primarily on material covered in the homework assignments. The total of all four quizzes together will equal the weight of one test. Also, the total of all the homework assignments will equal the weight of one test.
Instructor’s Expectations: I expect all of my students to conduct themselves as professional young adults. If you do not conduct yourself accordingly, you will be asked to leave the classroom. I require my students to have their cellular phones turned off and out of sight while in the classroom.
Make up Work: Your attendance and participation are crucial elements to your success in this fast paced course. If you must miss class, it is your responsibility to get your make up work completed and turned in within two days after you return. If you miss a test, you must make arrangements with the instructor to come in and make it up outside of class time. Please notify the instructor in advance if you have schedule conflicts with the dates listed for tests.
Prerequisites: MTHM 121 or divisional approval.
Tests: Tests will be given on the dates listed in the calendar. There are 4 tests each worth 100 points. There will be a review class before each test and before the comprehensive final exam. The final exam is worth 200 points.
Instructional Methods and Techniques:
· Classroom lecture, discussion, and demonstration emphasizing the understanding of concepts and proofs and the ability to solve problems.
· Use of graphing calculator, smart board, and computer with appropriate software to enhance the understanding of concepts and techniques under discussion.
Topical Outline: (Common Core topics)
· Solving non-linear systems of equations
· Real and complex roots of polynomials
· Composite trigonometric functions
· Solving non-linear inequalities
· Analytic Trigonometry (Identities, equations, inverse functions)
· Statistics: mean, median, mode, standard deviation
· Linear and non-linear regression (Empirical curve-fitting)
· Analytic geometry of lines and circles
· Analytic geometry of parabolas, ellipses, hyperbolas
· Translation of axes
· Graphing in polar coordinates and using parametric equations
· Arithmetic and geometric progressions
· Infinite geometric series
· Binomial Theorem
Lecture Topics and Homework Schedule:
Date Assigned / Section and Topic / ExercisesCh. 8: Exponents and Radicals
(1.5 contact hours)
1/19/2015 / Holiday / No Classes!
1/20/2015 / 8.6 Equations w/ Radicals / p. 300 #1-11 odds,17,21,27,31
1/21/2015 / 8.7 Equations in Quadratic Form / p.302 #1-19 odds
Ch 16: Polynomials of Higher Degree
( 3.75 contact hours)
1/22/2015 / 16.1 Polynomial Functions / p.531 #1-23 odds
1/23 & 1/26 / 16.2 Real Solutions of
Polynomial Equations / p.535 #1-10
1/27 & 1/30 / 16.3 Complex Solutions of
Polynomial Equations / p.539 #1-25 odds
1/28 & 1/29 / Soph Tours / No Classes
Ch 17: Inequalities & Absolute Value
( 3.0 contact hours)
2/2/2015 / 17.1 Inequalities / p. 549 #1,5,11,15,29,37,51,55
2/3/2015 / QUIZ 1 / CH 8, 16
2/4/2015 / 17.2 Equations & Inequalities w/
Absolute Value / p. 552 # 1,3,11,15,19
2/5/2015 / 17.3 Other Types of Inequalities / p. 556 #1-11 odds, 27,29,31
2/6/2015 / 17.4 Inequalities in 2 Variables / p. 558 #1-7 odds, 17,18,19
Ch 12: Graphing the Trigonometric
Functions (6.0 contact hrs.)
2/9/2015 / 12.1 Graphing the Sin and
Cosine Functions / p. 426 #1-19 odds
2/10/2015 / 12.2 Phase Shift / p. 430 # 1,3,7,8,11,15
2/11 & 2/12 / 12.3 Graphing the Other
Trigonometric Functions / p. 433 # 1,5,7,8
2/13 2/17 / 12.4 Graphing Composite
Curves / p.435 #1-15 odds
2/16/2015 / Holiday / No Classes
2/18/2015 / Review for TEST 1
2/19/2015 / TEST 1 / CH 8, 16, 17
2/20 & 2/23 / 12.5 Simple Harmonic Motion / p. 440 # 1,4,7,10
Ch 13: Trigonometric Formulas &
Identities (7.5 contact hrs.)
2/24 & 2/25 / 13.1 Basic Trig Identities / p. 450 #1-19 odds
2/26/2015 / Review for Quiz 2
2/27/2015 / QUIZ 2 / CH 12
3/2 & 3/3 / 13.2 Formulas for the Sum &
Difference of 2 Angles / p. 455 #1,2,5,7,9,21
3/4 & 3/5 / 13.3 Double- and Half-Angle
Formulas / p.461 # 1,3,17,18,23,25
3/6 & 3/9 / 13.4 Trigonometric Equations / p. 465 # 1-15 odds, 17,19
3/10 & 3/11 / 13.5 Inverse Trig Functions / p. 471 # 1,3,7,9,19-29odds, 39-49 odds
Ch 18: Progressions and the
Binomial Theorem
(3.0 contact hrs.)
3/12/2015 / 18.1 Arithmetic Progressions / p.563 # 1-21 odds
3/13/2015 / Professional Dev. Day / No Classes
3/16/2015 / Review for TEST 2
3/17/2015 / TEST 2 / CH 12, 13
3/18/2015 / 18.2 Geometric Progressions / p. 567 # 1-39 odds
3/19 & 3/20 / 18.3 the Binomial Theorem / p. 571 #1-15 odds
3/23/2015 / Teacher-In-Service / No Classes
Ch 19: Basic Statistics
(6 contact hours)
3/24/2015 / 19.1 Graphical Presentation of
Data / p. 577 #1-7 odds
3/25/2015 / 19.2 Measures of Central
Tendency / p. 581 # 1-7 odds
3/26/2015 / 19.3 Measures of Dispersion / p. 585 # 1-11 odds
3/27/2015 / 19.4 The Normal Distribution / p. 588 #1,3,5,7
3/30 & 3/31 / 19.5 Fitting Curves to Data Sets / P. 593 #1-9 odds
4/1/2015 / Review for Quiz 3
4/2/2015 / QUIZ 3 / CH 18, 19.1-19.3
4/3 - 4/10 / Spring Break / No Classes
4/13 & 4/14 / 19.6 Statistical Process Control / p. 599 #1-12 all
Ch 20: Analytic Geometry
(11.25 contact hours)
4/15/2015 / 20.1 The Circle / p. 612 # 1-19 odds
4/16 & 4/17 / 20.2 The Parabola / p. 620 # 2,5,7,10,15,19,24,27,30
4/20 & 4/21 / 20.3 The Ellipse / p. 625 #1,4,8,13,18,20,21,26,29
4/22/2015 / Review for TEST 3
4/23/2015 / TEST 3 / CH 18, 19
4/24 & 4/27 / 20.4 The Hyperbola / p. 630 # 1-7 odds
4/28/2015 / 20.5 Translation of Axes / p. 635 # 3,6,9,12,14,17,22,23,25,28
4/29/2015 / Review for Quiz 4
4/30/2015 / QUIZ 4 / CH 20.1 – 20.4
5/1/2015 / 20.6 The General Second-
Degree Equation / p. 637 # 1-16 all
5/1/2015 / Test 4 Assigned:
Conics Project / Due by 5/13/2015
5/4 & 5/5 / 20.7 Systems of Quadratic
Equations / p. 641 # 1-15 odds
5/6 & 5/7 / 20.8 Polar Coordinates / p. 647 # 1,3,5,7,11,13,17- 27 odds,
and 29 -71odds
5/8& 5/11 / 20.9 Graphs in Polar
Coordinates / p. 654 #1,3,5,9,13,19,25,27,35,45
5/12/2015 / Review of Ch 20
5/13/2015 / Test 4 Due: Conics Project
5/13/2015 / Review for EXAMS / Part 1
5/14/2015 / EXAM / PART 1
5/15/2015 / Review for EXAMS / Part 2
5/18/2015 / EXAM / PART 2
5/19/2015 / Make up EXAMS
5/20/2015 / Senior Extravaganza Day
42 contact hrs for Lecture/Recitation
+ 12.75contact hrs for Review/Test =
54.75 hours total for the course.
(3.75 contact hours per week)