MATH 115 Section 007: Precalc Algebra & Trig

This is an accelerated combination of MATH 112 and MATH 113 (Algebra and Trigonometry) and is a fast track to MATH 125. This course is intended for students with a very strong background in college preparatory mathematics. Upon completion of this course, the student will be able to: perform operations with exponents, radicals, and algebraic expressions; understand functions and operations on functions; graph polynomial, rational, exponential, and logarithmic functions; solve linear, quadratic, absolute value, rational, exponential, and logarithmic equations and inequalities; solve linear and nonlinear systems of equations; graph the circle, parabola, ellipse, and hyperbola; understand trigonometric functions and their inverses; graph trigonometric functions; verify trigonometric identities; solve trigonometric equations; understand polar graphs; understand complex numbers in polar form, their powers, and roots; perform vector operations. Evaluation will be based on online homework, quizzes, four tests, and a comprehensive final exam.

• Students will be able to understand and graph polynomial, rational, exponential, logarithmic, and trigonometric functions and their inverses.
• Students will be able to solve linear, quadratic, absolute value, rational, exponential, logarithmic equations and inequalities and trigonometric equations.
• Students will be able to graph the circle, parabola, ellipse, and hyperbola.
• Students will be able understand polar graphs, and complex numbers in polar form, their powers, and roots.
• Students will be able perform vector operations.
• Students will be able to solve systems of equations.

Meeting	Section	Title	Hwk. Due/8:00 am	Quiz Due 8:00 am
8/19		Orientation, Ack. Form, Initial Skills Assessment		Monday 8/24
8/19	1.2	Linear Equations and Rational Equations	Monday 8/24	Monday 8/24
8/21	1.3	Models and Applications	Monday 8/24
8/24	1.4	Complex Numbers	Wednesday 8/26	Wednesday 8/26
	1.5	Quadratic Equations	Wednesday 8/26
8/26	1.6	Other Types of Equations	Friday 8/28	Monday 8/31
8/28	1.7	Linear Inequalities and Absolute Value Inequalities	Monday 8/31
		Syllabus Quiz		Monday 8/31
8/31	2.1	Basics of Functions and Their Graphs	Wednesday 9/2	Wednesday 9/2
	2.2	More on Functions and Their Graphs	Wednesday 9/2
9/2	2.5	Transformations of Functions	Friday 9/4	Friday 9/4
	2.6	Combinations of Functions; Composite Functions	Friday 9/4
9/4	2.7	Inverse Functions	Wednesday 9/9	Wednesday 9/9
	3.1	Quadratic Functions	Wednesday 9/9
9/9	3.2	Polynomial Functions and Their Graphs	Friday 9/11	Monday 9/14
9/11	3.3	Dividing Polynomials; Remainder and Factor Theorems	Monday 9/14
9/14		Review for TEST #1
		TEST #1   Tuesday 9/15	MTLC - Tutwiler
		Test #2 Material
Meeting	Section	Title	Hwk. Due 8:00 am	Quiz Due 8:00 am
9/16	3.4	Zeros of Polynomial Functions	Friday 9/18	Friday 9/18
9/18	3.5	Rational Functions and Their Graphs	Monday 9/21	Monday 9/21
9/21	3.6	Polynomial and Rational Inequalities	Wednesday 9/23	Wednesday 9/23
9/23	4.1	Exponential Functions	Friday 9/25	Friday 9/25
9/25	4.2	Logarithmic Functions	Monday 9/28	Monday 9/28
	4.3	Properties of Logarithms	Monday 9/28
9/28	4.4	Exponential and Logarithmic Equations	Wednesday 9/30	Wednesday 9/30
	4.5	Exponential Growth and Decay; Modeling Data	Wednesday 9/30
9/30	8.2	Systems of Linear Equations in Three Variables	Friday 10/2	Friday 10/2
	8.3	Partial Fractions	Friday 10/2
10/2	8.4	Systems of Nonlinear Equations in Two Variables	Monday 10/5	Monday 10/5
10/5		Review for TEST #2
Test 2		Monday 10/5, Tuesday 10/6, or Wednesday 10/7	MTLC - Tutwiler

		Test #3 Material
Meeting	Section	Title	Hwk. Due 8:00 am	Quiz Due 8:00 am
10/7	5.1	Angles and Radian Measure	Tuesday 10/13	Tuesday 10/13
10/12	5.2	Right Triangle Trigonometry	Wednesday 10/14	Wednesday 10/14
	5.8	Applications of Trigonometric Functions	Wednesday 10/14
10/14	5.3	Trigonometric Functions of Any Angle	Friday 10/16	Friday 10/16
10/16	5.4	Trig Functions of Real Numbers; Periodic Functions	Monday 10/19	Monday 10/19
10/19	5.5	Graphs of Sine and Cosine Functions	Wednesday 10/21	Wednesday 10/21
10/21	5.6	Graphs of Other Trigonometric Functions	Friday 10/23	Friday 10/23
10/23	5.7	Inverse Trigonometric Functions	Monday 10/26	Monday 10/26
10/26		Review for TEST #3
		TEST #3  Tuesday 10/27	MTLC - Tutwiler
		Test #4 Material
Meeting	Section	Title	Hwk. Due 8:00 am	Quiz Due 8:00 am
10/28	6.1	Verifying Trigonometric Identities	Friday 10/30	Friday 10/30
10/30	6.2	Sum and Difference Formulas	Monday 11/2	Monday 11/2
11/2	6.3	Double-Angle, and Half-Angle Formulas	Wednesday 11/4	Wednesday 11/4
11/4	6.5	Trigonometric Equations	Friday 11/6	Friday 11/6
11/6	7.1	The Law of Sines	Monday 11/9	Monday 11/9
11/9	7.2	The Law of Cosines	Wednesday 11/11	Wednesday 11/11
11/11	7.3	Polar Coordinates	Friday 11/13	Friday 11/13
	7.4	Graphs of Polar Equations	Friday 11/13
11/13	7.5	Complex Numbers in Polar Form; DeMoivre's Theorem	Monday 11/16	Monday 11/16
11/16		Review for TEST #4
		TEST #4  Tuesday 11/17	MTLC - Tutwiler
		New Material
Meeting	Section	Title	Hwk. Due 8:00 am	Quiz Due 8:00 am
11/18	7.6*	Vectors	Friday 11/20	Friday 11/20
11/20	7.7*	The Dot Product	Monday 11/23	Monday 11/23
11/23	10.1*	The Ellipse	Monday 11/30	Monday 11/30
11/30	10.2*	The Hyperbola	Wednesday 12/2
	10.3*	The Parabola	Wednesday 12/2
	*Include scores with Test #4 material to compute homework and quiz average
12/2 and 4		Review for Final Exam
Comprehensive Final Exam: Monday 12/7, Tuesday 12/8, Wednesday 12/9, Thursday 12/10, or Friday 12/11

TEST DEADLINES:                                                                                     ONLINE REGISTRATION PERIOD: Test 1          Tuesday                      September 15                                 8am Friday 9/4 – 5pm Friday 9/11 Test 2  Monday, Tuesday, or Wednesday  October 5, 6, or 7            8am Friday 9/25 – 5pm Friday 10/2 Test 3           Tuesday                     October 27                                      8am Friday 10/16 – 5pm Friday 10/23 Test 4           Tuesday                     November 17                                  8am Friday 11/6 – 5pm Friday 11/13 Final Exam    Mon., Tue., Wed., Thur., or Fri    December 7-11          8am Friday 11/27 – 5pm Friday 12/4   Test times available:  To be announced Final Exam times:  8:00 am, 11:30 am, 3:30 pm, and 7:00 pm (all times may not be available each day)

GRADE: The course grading is under the “A, B, C, NC” policy, +/- grades will be given.  The final grade will be based on your total points for the semester.  Your total points will be a number between 0 and 1004 determined by the following

 4 Tests          440 points (110 points each)                                COURSE GRADE SCALE

 Final Exam    300 points                                                   

 Quizzes         120 points (30 points each test period)          A+    980 – 1002,   A   920 – 979,     A-   900 – 919

 Homework      100 points (25 points each test period)         B+    880 – 899,     B   820 – 879,     B-   800 – 819

 Class Participation  40 points (1 point for each class)         C+    780 – 799,     C   720 – 779,     C-   700 – 719

 Survey                               2 points                                                     NC    < 700                           

 Total                            1002 points      

Students must earn at least 700 points (C-) to successfully pass this course.

MAKE-UP POLICY:  If homework or quizzes are missed due to a serious, verifiable circumstance, then make-up work may be allowed. Any student requesting to make up work must fill out a petition request form in 345 Gordon Palmer with an excuse and supporting documents attached.  If a test is missed due to a serious verifiable circumstance, the zero test grade will be replaced with the final exam grade (see Replacement Policy).  Students who miss work due to official University business must make other arrangements beforehand.

REPLACEMENT POLICY:  Everyone will be allowed to replace the lowest test grade with the grade made on the final exam. However, zeros due to an unexcused absence or academic misconduct will not be replaced.  Students who miss a test and have an excuse can have the missed test replaced if a petition request form is filled and supporting documents is attached, at the math department office (345 Gordon Palmer) within two days of missed work.  The missed test will be replaced if the petition request panel approves the excuse.

Attendance for this course is mandatory.  You are expected to attend all of your scheduled classes. Class meets each Monday, Wednesday, and Friday unless noted.  Each class counts 1 point toward your class participation grade.  Each class will consist of a lecture for the material assigned. The MTLC in B1 Tutwiler is available for you to do homework and quizzes. 

All students in attendance at the University of Alabama are expected to be honorable and to observe standards of conduct appropriate to a community of scholars. The University expects from its students a higher standard of conduct than the minimum required to avoid discipline. Academic misconduct includes all acts of dishonesty in any academically related matter and any knowing or intentional help or attempt to help, or conspiracy to help, another student.

The Academic Misconduct Disciplinary Policy will be followed in the event of academic misconduct.

If you are registered with the Office of Disability Services, please make an appointment with me as soon as possible to discuss any course accommodations that may be necessary. If you have a disability, but have not contacted the Office of Disability Services, please call 348-4285 or visit 133-B Martha Parham Hall East to register for services. Students who may need course adaptations because of a disability are welcome to make an appointment to see me during office hours. Students with disabilities must be registered with the Office of Disability Services, 133-B Martha Parham Hall East, before receiving academic adjustments.

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• Weather advisory posted on the UA homepage
• Weather advisory sent out through Connect-ED--faculty, staff and students (sign up at myBama)
• Weather advisory broadcast over WVUA at 90.7 FM
• Weather advisory broadcast over Alabama Public Radio (WUAL) at 91.5 FM
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