GE192 Cllege Mathematics II [Onsite] Curse Descriptin: This curse will include, but is nt limited t, the fllwing cncepts: expnential and lgarithmic equatins and functins, graphs f trignmetric functins, trignmetric equatins, plar crdinates, blique triangles, vectrs and sequences. Prerequisite(s) and/r Crequisite(s): Prerequisite: GE127 Cllege Mathematics I r equivalent Credit hurs: 4 Cntact hurs: 40 (40 Thery Hurs)
Cllege Mathematics II SYLLABUS: Cllege Mathematics II Instructr: Office hurs: Class hurs: MAJOR INSTRUCTIONAL AREAS 1. Trignmetric Functins 2. Additinal Tpics in Trignmetry 3. Expnential and Lgarithmic Functins 4. Sequences and Prbability COURSE OBJECTIVES 1. Interpret the graphs f sine and csine functins by cnstructing the graphs frm their equatins. 2. Evaluate the graphic characteristics f ther trignmetric functins frm their equatins. 3. Perfrm peratins using the prperties f lgarithmic functins. 4. Slve lgarithmic and expnential equatins. 5. Use the Law f Sines and the Law f Csines t slve blique triangle prblems. 6. Slve prblems invlving cmplex numbers and plar crdinates. 7. Slve prblems requiring the use f vectrs. 8. Slve prblems using sequences. 9. Slve prblems invlving cunting, permutatins, cmbinatins, and/r prbability. 10. Slve prbability prblems. 11. Use the ITT Tech Virtual Library t research selected tpics. ITT Educatinal Services, Inc. Date: 8/13/2010
Cllege Mathematics II Related SCANS Objectives 1. Prcess infrmatin and present it graphically using the cmputer. 2. Interpret infrmatin present in varius frms (graphs, charts, and matrices). ITT Educatinal Services, Inc. Date: 8/13/2010
Cllege Mathematics II TEACHING STRATEGIES This curse is the secnd quarter f the tw-quarter Cllege Math series. Students will build upn the basic cncepts learned in Cllege Math 1. Tpics t be cvered in this curse include trignmetry, expnential and lgarithmic functins, plar crdinates and cmplex numbers, vectrs, sequences, and prbability. The instructinal methds used in this class include lectures, assigned hmewrk, practice and graded quizzes, and a final exam. These methds are designed t help students apply the cncepts they learn t slve prblems. Subsequent curses n physics, electrnics, and drafting will require skills in these areas. COURSE RESOURCES Student Textbk Package The student textbk package fr Cllege Mathematics II is exactly the same as the package fr the prerequisite curse, Cllege Mathematics I. Therefre, yu will nt be issued a new package fr this curse. Fr bth curses, the student package includes: Blitzer, Rbert. Algebra and Trignmetry. 4th ed. Upper Saddle River, NJ: Pearsn Prentice Hall, 2010. References and Resurces Other Resurces Bk: Blitzer, Rbert. Student Slutins Algebra and Trignmetry. 4th ed. Upper Saddle River, NJ: Pearsn Prentice Hall, 2010. Web site: Prentice Hall Cmpanin Web site: http://www.prenhall.cm/blitzer All links t Web references utside f the ITT Tech Virtual Library are always subject t change withut prir ntice. ITT Educatinal Services, Inc. Date: 8/13/2010
Cllege Mathematics II EVALUATION & GRADING COURSE REQUIREMENTS 1. Attendance and Participatin Regular attendance and participatin are essential fr satisfactry prgress in this curse. 2. Cmpleted Assignments Each student is respnsible fr cmpleting all assignments n time. 3. Team Participatin (if applicable) Each student is respnsible fr participating in team assignments and fr cmpleting the delegated task. Each team member must hnestly evaluate the cntributins by all members f their respective teams. Evaluatin Criteria Table The final grade will be based n the fllwing weighted categries: CATEGORY WEIGHT Participatin 15% Writing Assignments 30% Quizzes 30% Final Exam 25% Ttal 100% ITT Educatinal Services, Inc. Date: 8/13/2010
Cllege Mathematics II Grade Cnversin Table Final grades will be calculated frm the percentages earned in class as fllws: Grade Percentage Credit A 90 100% 4.0 B+ 85 89% 3.5 B 80 84% 3.0 C+ 75 79% 2.5 C 70 74% 2.0 D+ 65 69% 1.5 D 60 64% 1.0 F <60% 0.0 ITT Educatinal Services, Inc. Date: 8/13/2010
Cllege Mathematics II COURSE OUTLINE Unit Unit 1: All the cncepts will be cvered in the class; therefre, the specified readings are merely fr yur reference. Fr all ther units: It is recmmended that yu cmplete the readings befre attending the class. In additin t general class participatin and in-class activities, all discussin questins will be graded under the Participatin evaluatin categry. Activities fr the Unit 1 Cntent Cvered Sinusidal Functins Chapter 5, Sectin 5.5, Graphs f Sine and Csine Functins, pp. 536-557 FDOC Lecture Presentatin Ungraded In-class Prblem-Slutin Exercise Graded Hmewrk Assignment 1 Ungraded Hmewrk Assignment 2: Quiz 2 Read frm Algebra and Trignmetry: Graphs f Other Trignmetric Functins Chapter 5, Sectin 5.6, Graphs f Other Trignmetric Functins, pp. 558-570 Chapter 5, Sectin 5.7, Inverse Trignmetric Functins pp. 571-586 Chapter 5, Sectin 5.8, Applicatins f Trignmetric Functins, pp. 587-597 Discussin Lecture Presentatin Ungraded In-class Prblem-Slutin Exercise Graded Hmewrk Assignment 1 ITT Educatinal Services, Inc. Date: 8/13/2010
Cllege Mathematics II Unit Activities fr the Unit Ungraded Hmewrk Assignment 2: Quiz 3 Lgarithmic Functins Read frm Algebra and Trignmetry: Discussin Chapter 4, Sectin 4.1, Expnential Functins, pp. 412-424 Chapter 4, Sectin 4.2, Lgarithmic Functins, pp. 424-437 Chapter 4, Sectin 4.3, Prperties f Lgarithms, pp. 437-446 Lecture Presentatin Ungraded In-class Prblem-Slutin Exercise Graded Hmewrk Assignment 1 Ungraded Hmewrk Assignment 2: Quiz 4 Read frm Algebra and Trignmetry: Expnential and Lgarithmic Equatins Chapter 4, Sectin 4.4, Expnential and Lgarithmic Equatins, pp. 447-460 Chapter 4, Sectin 4.5, Expnential Grwth and Decay; Mdeling Data, pp. 460-473 Discussin Lecture Presentatin Ungraded In-class Prblem-Slutin Exercise Graded Hmewrk Assignment 1 ITT Educatinal Services, Inc. Date: 8/13/2010
Cllege Mathematics II Unit Activities fr the Unit Ungraded Hmewrk Assignment 2: Quiz 5 Oblique Triangles, Laws f Sines and Csines Read frm Algebra and Trignmetry: Chapter 7, Sectin 7.1, The Law f Sines, pp. 664-675 Chapter 7, Sectin 7.2, The Law f Csines, pp. 676-684 Discussin Lecture Presentatin Ungraded In-class Prblem-Slutin Exercise Graded Hmewrk Assignment 1 Ungraded Hmewrk Assignment 2: Quiz 6 Plar Crdinates and Cmplex Numbers Read frm Algebra and Trignmetry: Chapter 7, Sectin 7.3, Plar Crdinates, pp. 684-695 Discussin Chapter 7, Sectin 7.5, Cmplex Numbers in Plar Frm; DeMivre s Therem, pp. 706-718 Lecture Presentatin Ungraded In-class Prblem-Slutin Exercise Graded Hmewrk Assignment 1 Ungraded Hmewrk Assignment 2: Quiz 7 Vectrs Read frm Algebra and Trignmetry: Chapter 7, Sectin 7.6, Vectrs, pp. 718-732 ITT Educatinal Services, Inc. Date: 8/13/2010
Cllege Mathematics II Unit Activities fr the Unit Chapter 7, Sectin 7.7, The Dt Prduct, pp. 733-741 Discussin Lecture Presentatin Ungraded In-class Prblem-Slutin Exercise Graded Hmewrk Assignment 1 Ungraded Hmewrk Assignment 2: Quiz 8 Read frm Algebra and Trignmetry: Sequences and Series Chapter 11, Sectin 11.1, Sequences and Summatin Ntatin, pp. 968-978 Chapter 11, Sectin 11.2, Arithmetic Sequences, pp. 978-987 Chapter 11, Sectin 11.3 Gemetric Sequences and Series, pp. 988-1002 Discussin Lecture Presentatin Ungraded In-class Prblem-Slutin Exercise Graded Hmewrk Assignment 1 Ungraded Hmewrk Assignment 2: Quiz 9 Read frm Algebra and Trignmetry: Cunting Principles, Permutatins, and Chapter 11, Sectin 11.6, Cunting Principles, Permutatins, and Cmbinatins, pp. 1019-1030 ITT Educatinal Services, Inc. Date: 8/13/2010
Cllege Mathematics II Unit Activities fr the Unit Cmbinatins Discussin Lecture Presentatin Ungraded In-class Prblem-Slutin Exercise Graded Hmewrk Assignment 1 Ungraded Hmewrk Assignment 2: Quiz 10 Prbability Read frm Algebra and Trignmetry: Chapter 11, Sectin 11.7, Prbability, pp. 1031-1044 Discussin Lecture Presentatin Ungraded In-class Prblem-Slutin Exercise Graded Hmewrk Assignment 1 Ungraded Hmewrk Assignment 2: Quiz 11 Review and Final Exam Review and Final Exam (End f ) ITT Educatinal Services, Inc. Date: 8/13/2010