20439 MTuWTh 12:00 - 2:15 PM, Room CB 102 UNITS: 3.0
INSTRUCTOR: Dr. Graham Chalmers
OFFICE: PST 205 HOURS: MTuWTh 11:00 - 11:45 AM.
TELEPHONE: 562-860-2451 ext 2696 E-mail: firstname.lastname@example.org
TEXT: McKeague, Trigonometry, 6th edition, Brooks/Cole
|PREREQUISITE: Intermediate Algebra with a 'C' or better, and Geometry with a 'C' or better. Please note that in order to enroll, proof that both prerequisites are satisfied must be submitted to Cerritos College in time for this information to be recorded. Your enrollment will be blocked if the prerequisites are not on the computer.|
|COURSE OBJECTIVES: Introduction to trigonometry and its applications. One or more of the following Student Learning Outcomes may be surveyed: 1. Understand the definitions of the six basic trigonometric Functions, and use them to evaluate expressions, solve equations, and solve applications. 2. Understand how to select an appropriate trigonometric identity to solve equations involving trigonometric functions. 3. Demonstrate understanding of and use of mathematical (trigonometric) symbols, notation and syntax appropriately. 4. Explore and analyze trigonometric functions using technology appropriately.|
GRADE: See general course information.
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|You may be required to access course information, such as homework assignments, etc., on-line. Practice test questions found in a syllabus are in PDF format. To view them download the Adobe Acrobat Reader at http://www.adobe.com/products/acrobat/readstep2.html|
|CALCULATOR: A TI-84Plus or other suitable graphing calculator is required.|
Tue. July 24, 2012*, is the last day to withdraw from the class and
receive a W.
I cannot assign a W grade after the deadline.*.
If you cease to attend, withdraw through Admissions and Records, to avoid getting an F.
See me in my office, PST 205. It is a good idea to form study groups outside
Enroll in Supervised Mathematics Tutoring. Go to the Academic Support Center, in the lower level of the east side of the Learning Resource Center (library building).
Ask questions during the lecture. Before each lecture you can ask questions about textbook problems and examples.
|HOMEWORK (HW) & GROUPWORK (GW): Plan to spend eight or more hours per week outside of class reading, doing assignments and attending tutorial classes. Unless otherwise stated, the default selection for practice HW is every tenth problem starting with #1, from the exercises at the end of each section in a chapter. These should be completed by the due dates below, and will have to be turned in. Work must be shown to get credit. For HW and GW ten percent of the value of the work will be deducted for each class late. No late work will be accepted more than 4 classes late or after AUG. 29, 2009. Students must read the textbook, including examples, and work additional problems as needed.|
|The schedule below is only approximate. DATES, TOPICS AND TESTS ARE SUBJECT TO CHANGE. (*Dates determined by admissions office - you must confirm these with that office.) Topics & dates below are very rough. They will gradually be revised.|
|Mon. JUNE 25 Introductory topics and lecture on 1.1, 1.2, 2.1 Angles, angle measure, similar triangles, trigonometric ratios in triangles, right triangle trigonometry, applications. Rectangular coordinate system. Coordinate system. Distance. Circles. Functions. Graphing calculator use.|
|Tue. JUNE 26 Lecture on 1.3, 1.4, 2.2, 2.3. Right triangle trigonometry. Trigonometric functions. Trig functions of general angles. Unit circle. Properties of trig functions. Properties of trig functions. Fundamental identities. Transformations of functions. GW#1: p31 #8, p77 #20.|
|Wed. JUNE 27 Lecture on 2.4, 2.5, 3.1. Applications. Finding quadrant of terminal side of an angle. Reference angles. Graphs of sine and cosine functions. Transformations of functions. Inverse functions. Inverse sine function. Chapter 1 HW due. GW#2: p88 #2, p102 #22.|
|Thu. JUNE 28 Lecture on 3.2, 3.3, 3.4. Radians. Arc length. Sector area. QUIZ ONE on 1.1 - 2.5. Chapter 2 HW due.|
|Mon. JULY 2 Lecture on 3.5, 4.1, 4.2 Velocities. Graphing. Sinusoidal graphs. GW#3: p206 #32.|
|Tue. JULY 3 Lecture on 4.3, 4.4, 4.5, 4.6. Graphing. Test One Sample Problems. Chapter 3 HW due.|
|Wed. JULY 4 INDEPENDENCE DAY HOLIDAY.|
|Thu. JULY 5 Review of 3.1 - 4.6. QUIZ TWO on 3.1 - 4.6.|
|Mon. JULY 9 Lecture on 4.7, 5.1, 5.2, 5.3, 5.4, 5.5. Trigonometric identities. Sum/Difference formulas. Double and Half angle formulas. Product/Sum formulas. Chapter 4 HW due. GW#4: p248 #72, with a diagram, p264 #44, p272 #2.|
|Tue. JULY 10 Lecture on 6.1, 6.2, 6.3 Inverse sine, inverse cosine, inverse tangent & inverse secant functions. Trigonometric identities. Solving trigonometric equations. Solving trigonometric equations. GW#5: 1. Solve on the interval from 0 degrees to 360 degrees. (a) sin x = 0.35, (b) sin(2x) = 0.35, 2. Find the exact value of sin(arctan(2/3) - arccos(1/5)), drawing appropriate triangles.|
|Wed. JULY 11 Lecture on 7.1, 7.2. Law of Sines. Law of Cosines. Review for Test One. Some sample Test Two problems. Test Two Spring 2003 Solutions. Correction to 1.(b): quadrant is IV. Sample Multiple Choice Problems Set One. Chapter 5 HW due.|
|Thu. JULY 12 TEST ONE on Chapters 1 - 5. Need 882E scantron for part one of the test.|
|Mon. JULY 16 Lecture on 7.1 - 7.4. Law of Sines. Law of Cosines. Area of a triangle. Vectors. Chapter 6 HW due. GW#6: p355 #12. Round answers to two decimal places. Find both solutions with separate diagrams. Check one of the solutions with the Law of Cosines.|
|Tue. JULY 17 Lecture on 7.5, 7.6, 8.1, 8.2. Vectors. Dot product. Angle between vectors. Complex numbers. Trigonometric form of a complex number. GW#7: p361 #12, 14.|
|Wed. JULY 18 Lecture on 8.2 - 8.4. Trigonometric form of a complex number. Products and quotients in trig form. DeMoivre's Theorem. Formulas for sin(nx) and cos(nx). The nth roots of a complex number. Review of 6.1 - 7.3. QUIZ THREE on 6.1 - 7.3.|
|Thu. JULY 19 Lecture on 8.4 - 8.6. The nth roots of a complex number. Polar coordinates. Polar equations and graphs. Chapter 7 HW due. GW#8 due: p368 #2, 14, p382 #16. GW#9: p409 #38, p416 #30.|
|Mon. JULY 23 Lecture on 8.5 - 8.6. Polar coordinates. Polar equations and graphs. QUIZ FOUR on 7.4 - 8.5.|
|Tue. JULY 24 Lecture on 8.6. Polar equations and graphs.|
|Wed. JULY 25 Review for Test Two. Test Three Sample Problems. Solutions to Test Three Sample Problems. Chapter 8 HW due.|
|Thu. JULY 26 TEST TWO on Chapters 6, 7 & 8. Need 882E Scantron for part one of the test.|
|Mon. JULY 30 Review of all topics in the course. Last day to turn in any work that is not more than four classes late. Some sample final exam problems.|
|Tue. JULY 31 Prefinal exam. Need 882E scantron. Covers all sections/topics.|
|Wed. AUGUST 1 Review of all topics in the course.|
|Thu. AUGUST 2 FINAL EXAM in the classroom. Covers all sections/topics.|
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