FALL 2015 MESA COLLEGE PRECALCULUS (M141) SYLLABUS ...
FALL 2015
MESA COLLEGE
PRECALCULUS (M141) SYLLABUS
Instructor: S hunt Semester: Fall 2015 Telephone: 619 388 2662 E-Mail: [email protected] Office Hours: MW6:30-7pm,TTh 9:30-lOpm, F by appt, office MS215T Course Title: Precalculus, Text: Precalculus by Swokowski and Cole, 12th edition Subject Area and Course Number: Mathematics (MATH) 141, Course CRN:69440 Class Meets: MW 7:0O-9:3Opm in room MS320
Course Description: This course is a study of numerical, analytical, and graphical properties of functions. The course content includes polynomial, rational, irrational, exponential, logarithmic, and trigonometric functions. Additional topics include: inverse functions, complex numbers, polar coordinates, matrices, conic sections, sequences, series and the binomial theorem. This course is designed as a preparation for calculus and is intended for the transfer student planning to major in mathematics, engineering, economics, or disciplines included in the physical or life sciences. Student Learning Outcomes: Upon successful completion of the course the student will be able to:
1. Define and distinguish between higher order polynomial functions and non-polynomial functions and relations, and analyze the graphs of functions by determining their domains and ranges. 2. Analyze properties of functions and their graphs, including symmetries, increasing and decreasing intervals and their end behavior asymptotes. 3. Prove algebraically and justify graphically when a function is one-to-one. 4. Graph a variety of algebraic, rational, exponential, logarithmic, and trigonometric functions, and where applicable, use rigid and non-rigid transformations, intercepts and asymptotes. 5. Perform algebraic operations on various functions including composition of functions, and determine the domain of the resulting function. 6. Calculate the inverse of a one-to-one function, determine the domain and range of the inverse and describe the relation between their graphs. 7. Solve equations and application problems involving exponential and logarithmic functions. 8. Simplify difference quotients involving a variety of functions including polynomial, rational, trigonometric, exponential, and logarithmic functions. 9. Apply a variety of root finding theorems and tests in order to factor polynomials or solve polynomial equations whose degree is higher than quadratic. 10. Simplify rational expressions and expressions involving radicals that arise from calculus operations, such as those from the product or quotient rules. 11. Determine the partial fraction decomposition of rational functions. 12. Define, evaluate, describe and graph all trigonometric and inverse trigonometric functions, and solve equations involving these functions. 13. Derive and prove fundamental trigonometric identities including the sum, difference, double and half angle identities. 14. Apply the laws of sines and cosines in solving oblique triangles and in application problems. 15. Represent complex numbers in standard, trigonometric and exponential forms and perform arithmetic operations with each. 16. Perform algebraic operations involving matrices. 17. Apply matrices in solving linear systems of equations. 18. Compute the determinant of a square matrix, and apply determinants to various applications.
19. Apply vector algebra to problems involving vector quantities. 20. Perform the vector operations of the dot product and the cross product, and formulate their geometric interpretations. 21. Analyze, identify, and graph the four conic sections. 22. Solve systems of non-linear equations and inequalities, including those involving conic sections. 23. Define and analyze sequences and series, including arithmetic and geometric sequences and series, find the sum of finite and infinite geometric series. 24. Apply the binomial theorem to expand powers of binomial expressions. 25. Prove elementary mathematical statements using the principle of Mathematical Induction. SLO Assessment measure: By representing a transformation of the graph of f(x), a student identifies the a, h and k variable values in the expression y = a f(x h) + k —
Evaluation: Best 8 of 10 worksheets Best 2 of 3 tests Best 2 of 3 quizzes Final Exam Total possible
80 points 200” 50” 200’ 530 points points
Grading: A( 100-90%), B(89-80%),C(79-66%),D(65-60%), F(other) Keep corrected versions of all your tests because some of the problems will be recycled in the final exam. Worksheets may be done with a partner. One sheet maybe turned in with 2 names. No late worksheets will be accepted. Suggested homework problems will be assigned but not collected. Please turn off all cell phones and devices that may disrupt the class. Supplies Required: Only a non graphing, simple calculator is allowed during tests and quizzes.
TEXTBOOKS:
Swokowski/Cole. Precalculus: Functions and Graphs, 12th edition Sections of chapters 2,3,4,6,7,8,9,and 10 will be covered. Attendance Requirements: It is the student’s responsibility to drop all classes which he/she is no longer attending. Drop deadline is 10/30/15. More than 3 absences may cause you to be dropped from class. To excuse an absence leave me a message before class. Voice mail: 619 388 2662 or email: [email protected] Students with disabilities who may need academic accommodations should discuss options with their professors during the first two weeks of class. The course will progress according to the following tentative schedule: The instructor reserves the right to change the schedule with prior notice.
Mathematics m/’l/ (Tentative Schedule) Fall 2015 (8/24/2015 through 12/19/2015) Tuesday
8/24
8/25
Wednesday 8/26
8/31
9/1
9/7 Labor Day 9/14
Monday
.
Thursday
Friday
8/27
8/28
9/2
9.3
9/4
9/8
9/9
9/10
9/11
9/15
9/16
9/17
9/18
9/24
9/25
10/1
10/2
10/8
10/9
10/15
10/16
10/22
10/23
M1 5
C*)3,2
S 3.4, .6 9/21
5 i-i, 9/28 10/5
53,4,cc,jI 9/22
4,
9/23
7iTj 9/29
9/30
10/6
10/7
$4i,,c/,t
‘4, jl. 5
5 .4,
5 C. C
(,%L
10/12
10/13
10/14
10/20
10/21
5ein t%J5
dn
10/19
h* ? t) I
10/26
5thu 9,
,
11/2
/
10/27
10/28
11/3
9.Z, g3
11/16
11/10
11117
11/4
11/5
11/11 vet day
11/12
11/13
11/18
11/19
11/20
11/27 Thanksgiving 12/3
11/28
12/10
12/11
12/17
12/18
Recess
Recess 12/1
12/2
12/7
12/8
12/9
12/14
12/15
12/16
C1kJ1ILp
R,jyiT&zT3.
10/29
10/30 Wthd. Deadline 11/6
4.,
11/26
11/25 Recess
11/30
‘____________
5dzb k2it
5et-Ithk1 iô.3 11/23
2. T&
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,t, 9, 11/9
a
Recess 12/4
QLLI&3
res-r3 lAJLISXdVfl
MESA COLLEGE
PRECALCULUS (M141) SYLLABUS
Instructor: S hunt Semester: Fall 2015 Telephone: 619 388 2662 E-Mail: [email protected] Office Hours: MW6:30-7pm,TTh 9:30-lOpm, F by appt, office MS215T Course Title: Precalculus, Text: Precalculus by Swokowski and Cole, 12th edition Subject Area and Course Number: Mathematics (MATH) 141, Course CRN:69440 Class Meets: MW 7:0O-9:3Opm in room MS320
Course Description: This course is a study of numerical, analytical, and graphical properties of functions. The course content includes polynomial, rational, irrational, exponential, logarithmic, and trigonometric functions. Additional topics include: inverse functions, complex numbers, polar coordinates, matrices, conic sections, sequences, series and the binomial theorem. This course is designed as a preparation for calculus and is intended for the transfer student planning to major in mathematics, engineering, economics, or disciplines included in the physical or life sciences. Student Learning Outcomes: Upon successful completion of the course the student will be able to:
1. Define and distinguish between higher order polynomial functions and non-polynomial functions and relations, and analyze the graphs of functions by determining their domains and ranges. 2. Analyze properties of functions and their graphs, including symmetries, increasing and decreasing intervals and their end behavior asymptotes. 3. Prove algebraically and justify graphically when a function is one-to-one. 4. Graph a variety of algebraic, rational, exponential, logarithmic, and trigonometric functions, and where applicable, use rigid and non-rigid transformations, intercepts and asymptotes. 5. Perform algebraic operations on various functions including composition of functions, and determine the domain of the resulting function. 6. Calculate the inverse of a one-to-one function, determine the domain and range of the inverse and describe the relation between their graphs. 7. Solve equations and application problems involving exponential and logarithmic functions. 8. Simplify difference quotients involving a variety of functions including polynomial, rational, trigonometric, exponential, and logarithmic functions. 9. Apply a variety of root finding theorems and tests in order to factor polynomials or solve polynomial equations whose degree is higher than quadratic. 10. Simplify rational expressions and expressions involving radicals that arise from calculus operations, such as those from the product or quotient rules. 11. Determine the partial fraction decomposition of rational functions. 12. Define, evaluate, describe and graph all trigonometric and inverse trigonometric functions, and solve equations involving these functions. 13. Derive and prove fundamental trigonometric identities including the sum, difference, double and half angle identities. 14. Apply the laws of sines and cosines in solving oblique triangles and in application problems. 15. Represent complex numbers in standard, trigonometric and exponential forms and perform arithmetic operations with each. 16. Perform algebraic operations involving matrices. 17. Apply matrices in solving linear systems of equations. 18. Compute the determinant of a square matrix, and apply determinants to various applications.
19. Apply vector algebra to problems involving vector quantities. 20. Perform the vector operations of the dot product and the cross product, and formulate their geometric interpretations. 21. Analyze, identify, and graph the four conic sections. 22. Solve systems of non-linear equations and inequalities, including those involving conic sections. 23. Define and analyze sequences and series, including arithmetic and geometric sequences and series, find the sum of finite and infinite geometric series. 24. Apply the binomial theorem to expand powers of binomial expressions. 25. Prove elementary mathematical statements using the principle of Mathematical Induction. SLO Assessment measure: By representing a transformation of the graph of f(x), a student identifies the a, h and k variable values in the expression y = a f(x h) + k —
Evaluation: Best 8 of 10 worksheets Best 2 of 3 tests Best 2 of 3 quizzes Final Exam Total possible
80 points 200” 50” 200’ 530 points points
Grading: A( 100-90%), B(89-80%),C(79-66%),D(65-60%), F(other) Keep corrected versions of all your tests because some of the problems will be recycled in the final exam. Worksheets may be done with a partner. One sheet maybe turned in with 2 names. No late worksheets will be accepted. Suggested homework problems will be assigned but not collected. Please turn off all cell phones and devices that may disrupt the class. Supplies Required: Only a non graphing, simple calculator is allowed during tests and quizzes.
TEXTBOOKS:
Swokowski/Cole. Precalculus: Functions and Graphs, 12th edition Sections of chapters 2,3,4,6,7,8,9,and 10 will be covered. Attendance Requirements: It is the student’s responsibility to drop all classes which he/she is no longer attending. Drop deadline is 10/30/15. More than 3 absences may cause you to be dropped from class. To excuse an absence leave me a message before class. Voice mail: 619 388 2662 or email: [email protected] Students with disabilities who may need academic accommodations should discuss options with their professors during the first two weeks of class. The course will progress according to the following tentative schedule: The instructor reserves the right to change the schedule with prior notice.
Mathematics m/’l/ (Tentative Schedule) Fall 2015 (8/24/2015 through 12/19/2015) Tuesday
8/24
8/25
Wednesday 8/26
8/31
9/1
9/7 Labor Day 9/14
Monday
.
Thursday
Friday
8/27
8/28
9/2
9.3
9/4
9/8
9/9
9/10
9/11
9/15
9/16
9/17
9/18
9/24
9/25
10/1
10/2
10/8
10/9
10/15
10/16
10/22
10/23
M1 5
C*)3,2
S 3.4, .6 9/21
5 i-i, 9/28 10/5
53,4,cc,jI 9/22
4,
9/23
7iTj 9/29
9/30
10/6
10/7
$4i,,c/,t
‘4, jl. 5
5 .4,
5 C. C
(,%L
10/12
10/13
10/14
10/20
10/21
5ein t%J5
dn
10/19
h* ? t) I
10/26
5thu 9,
,
11/2
/
10/27
10/28
11/3
9.Z, g3
11/16
11/10
11117
11/4
11/5
11/11 vet day
11/12
11/13
11/18
11/19
11/20
11/27 Thanksgiving 12/3
11/28
12/10
12/11
12/17
12/18
Recess
Recess 12/1
12/2
12/7
12/8
12/9
12/14
12/15
12/16
C1kJ1ILp
R,jyiT&zT3.
10/29
10/30 Wthd. Deadline 11/6
4.,
11/26
11/25 Recess
11/30
‘____________
5dzb k2it
5et-Ithk1 iô.3 11/23
2. T&
s
,t, 9, 11/9
a
Recess 12/4
QLLI&3
res-r3 lAJLISXdVfl
