## Download the Syllabus here.

**Math 150 Calculus with Analytic Geometry I – Spring 2014**

**CRN: 59774**

**Instructor**: Anne Gloag

**email:**agloag@sdccd.edu

**Phone:**(619) 388-7688

**Classroom:**M108

**Time:**TTH 11:30 – 2:00 PM

**Office Hours:**

**Mondays and Wednesdays**

**12:30 - 2:00 Math Lab**

**2:00 - 2:20 M206****Tuesdays and Thursdays**

**9:00 - 9:30 M206**

**11:00 - 11:30 M206****2:00 - 3:00 M108 or M211D**

__Text and Materials__**:**

Calculus Early Transcendentals (E-Book/Jb),

*Stewart,*Edition 7, Cengage Learning; ISBN 1-1115-6377-2

__REQUIRED:__

__WebAssign__**:**In this course you are required to sign up for Webassign in order to access homework sets, lecture material and practice problems. You can access the site at: http://www.webassign.net/ and purchase access when you sign up. An electronic version of the textbook is available to you in the courseroom.

Some textbooks will come with an access code if it is bundled with the webassign access kit, so if you choose to purchase a textbook that comes with the access code you do not need to purchase another access code.

To sign up you need the Class Key:

**miramar 2308 6171**

__Strongly Recommended:__Graphing Calculator (TI-84 or similar). Phones should not be used as calculators because you cannot use them during tests or the final exam.

**: This course is a primary introduction to university-level calculus. The topics of study include analytic geometry, limits, differentiation and integration of algebraic and transcendental functions. Emphasis is placed on calculus applications. Analytical reading and problem solving are required for success in this course. This course is intended for the transfer student planning to major in mathematics, computer science, physics, chemistry, engineering, or economics.**

__Course Description__**Associate Degree Credit & transfer to CSU and/or private colleges and universities CSU General Education IGETC UC Transfer Course List MATH 121 and 150 combined: maximum credit, one course.**

__Transfer Information:__

__Prerequisite__**:**MATH 141 with a grade of "C" or better, or equivalent

__Objectives__**:**Upon successful completion of the course the student will be able to:

1. Evaluate various types of limits graphically, numerically, and algebraically, and analyze properties of functions applying limits including one-sided, two-sided, finite and infinite limits.

2. Develop a rigorous limit proof for simple polynomials.

3. Recognize and evaluate limits using the common limit theorems and properties.

4. Analyze the behavior of algebraic and transcendental functions by applying common continuity theorems, and investigate the continuity of such functions at a point, on an open or closed interval.

5. Calculate the derivative of a function using the limit definition.

6. Calculate the slope and the equation of the tangent line of a function at a given point.

7. Calculate derivatives using common differentiation theorems.

8. Calculate the derivative of a function implicitly.

9. Solve applications using related rates of change.

10. Apply differentials to make linear approximations and analyze propagated errors.

12. Apply differentials to make linear approximations and analyze propagated errors.

11. Apply derivatives to graph functions by calculating the critical points, the points of non-differentiability, the points of inflections, the vertical tangents, cusps or corners, and the extrema of a function.

12. Calculate where a function is increasing, or decreasing, concave up or concave down by applying its first and second derivatives respectively, and apply the First and Second Derivative Tests to calculate and identify the function's relative extrema.

13. Solve optimization problems using differentiation techniques.

14. Recognize and apply Rolle's Theorem and the Mean-Value Theorem where appropriate.

15. Apply Newton's method to find roots of functions.

16. Analyze motion of a particle along a straight line.

17. Calculate the anti-derivative of a wide class of functions, using substitution techniques when appropriate.

18. Apply appropriate approximation techniques to find areas under a curve using summation notation.

19. Calculate the definite integral using the limit of a Riemann sum and the Fundamental Theorem of Calculus and apply the Fundamental Theorem of Calculus to investigate a broad class of functions.

20. Apply integration in a variety of application problems, including areas between curves, arclengths of a single variable function, volumes

21. Estimate the value of a definite integral using standard numerical integration techniques which may include the Left-Endpoint Rule, the Right-Endpoint Rule, the Midpoint Rule, the Trapezoidal Rule, or Simpson’s Rule.

22. Calculate derivatives of inverse trigonometric functions, hyperbolic functions and inverse hyperbolic functions.

23. Calculate integrals of hyperbolic functions, and of functions whose anti-derivatives give inverse trigonometric and inverse hyperbolic functions.

__Student Learning Outcomes:__1. Analyze polynomial, rational, trigonometric, radical, exponential, logarithmic and inverse functions to graph them, indicating symmetry, asymptotes, discontinuities, limits and extrema.

2. Develop a rigorous limit proof of the derivative for simple polynomials, and use the limit definition to determine the derivative of a function.

3. Determine the derivative of polynomial, rational, trigonometric, hyperbolic, radical, exponential, logarithmic and inverse functions, and describe how the derivative relates to the function.

4. Determine the definite and indefinite integral of polynomial, rational, trigonometric, hyperbolic, radical, exponential, logarithmic and inverse functions, using formulas or numerical integration techniques, and describe how the integral relates to the function.

5. Analyze and solve physical, geometric, related rates and optimization problems using the appropriate functions, derivatives or integrals.

__Participation__**:**It is recommended that all students come to every class session. Come prepared for class by reading ahead in the textbook on the topics that will be covered during the lesson. Participate by asking questions about homework problems and the concepts covered in the lesson. Regular attendance and participation are key factors to your success in this class. There is no grade deduction for absences but there will be graded classroom assignments that you will need to complete in each session and missing class will hurt your grade.

Students are expected to spend and additional minimum of 8 hours outside class reading each section assigned in the text, watching the videos of each chapter’s material online and completing the homework sets assigned in Webassign.

__Grading Criteria:__You will be evaluated based on the following criteria:

**1. Tests: 500**

**2. Homework: 100**

**3. Activities: 100**

**4. Final Exam: 300**

**Total possible points:**

**1000**

__Final Grade____:__

90-100—A 80-89----B 70-79----C 60-69---D <60------F

**There will be**

__Tests:__**five**tests in this course. The tests are short answer and you have one attempt for each test. Each test is 90 minutes long.

**Test 1: Chapters 1 - 2 February 18**

**Test 2: Chapter 3 March 13**

**Test 3: Chapter 4 April 10**

**Test 4: Chapter 5 April 29**

**Test 5: Chapter 6 May 13**

**There are assigned Homework Sets for each chapter of the textbook covered in this course. Homework is due as indicated. Homework sets are accessed in**

__Homework:__**Webassign**. You should complete the homework by the posted due dates but you can still access and work on the assignments after the due date. To do this you must request an automatic extension. You have 14 days from the due date to request the extension and 7 days after you accept the conditions to complete the work. However, you will incur a late penalty of 20% on the parts of the assignment that were not completed by the deadline.

**There will be in-class assignments almost each class period. These assignments are focused on the applications of Calculus to real life situations and on strengthening specific skills. These assignments are due at the end of the class period unless otherwise indicated.**

__In class assignments:__

__Final Exam__**:**The final exam is comprehensive. The final exam will be given on May 22 in the same room and at the same time as the regular class. The final consists of short answer questions. The exam is 90 minutes long. You are allowed the use of a calculator (scientific or TI-83/84).

__Contacting your Instructor__**:**Please email me if you have any personal questions and concerns. You should use

**agloag@sdccd.edu**for fastest response. Please do not send me questions about particular homework problems through email. These questions are best addressed in class where all students can hear the question and answers. You can also reach me at

**619-388-7688.**Please leave a message if I don’t answer the phone and I will get back to you as soon as I can.

**: Any student who may need an academic accommodation should discuss the situation with me during the first two weeks.**

__Academic Accommodation__

__Cheating policy____:__I have a zero tolerance policy on cheating. Cheating of any type will not be tolerated. This includes, but is not limited to: copying other people’s work, use of notes on exams or quizzes, using calculators to store formulas, communicating with others during tests and quizzes in any way ( this includes using electronic devices), or similar activities. This does not include discussing homework with others prior to handing it in. I will penalize all cheaters to the fullest extent possible, with the minimum punishment being zero on that assignment that cannot be dropped. The most likely punishment will include an F in the class.

**As a diverse community of learners, students must strive to work together in a setting of civility, tolerance, and respect for each other and for the instructor. Conflicting opinions among members of a class are to be respected and responded to in a professional manner.**

__Classroom Etiquette:__There are to be no offensive comments, language, or gestures.

**If you need help in this class there are several resources available:**

__How to get help:__1. Your instructor is always happy to help. You can see me before or after class and during office hours, or we can set up an appointment. The best way to contact me is via email (agloag@sdccd.edu) and let me know that you are having troubles. Let me know specific problems and concepts with which you are struggling.

2. Your fellow students are a great resource. It is a proven fact that students who are part of a study group are more successful that students who are not. So get to know your fellow students early in the semester and plan some study sessions.

3. The Math Lab at Miramar is open five day a week (MTW: 9 – 6:30, Th: 9 – 8, F: 9-12). Free tutoring is available there from great tutors and faculty. Computers are also available for you to complete your work.

4. The PLACe on the Miramar campus also offers free tutoring. It is located in the Library building: L101 and is open M-Th: 8:30 – 6:30.

**I reserve the right to change the policies in the syllabus do to unforeseen circumstances.**

__Disclaimer:__**Important Dates:**

**January 27:**FIRST DAY OF CLASS

**February 7:**Add/Drop deadline; refund deadline

**February 14:**Abraham Lincoln Day (HOLIDAY)

**February 17:**George Washington Day (HOLIDAY)

**March 3**: Deadline TO FILE A PETITION FOR PASS/NO PASS GRADE OPTION

**Mar 31 – Apr 5:**SPRING BREAK

**April 11:**WITHDRAW DEADLINE, NO LATE DROPS ACCEPTED AFTER THIS DATE

**May 24:**End of Spring Semester

**June 2:**Spring semester grades available on e-Grades

**Please pay careful attention to these dates, especially the Drop date and the Withdrawal date.**

**These dates are when I clear my roster. This means that I drop students that have not been attending class regularly. I will assume that you are no longer interested in attending class if you miss more than two consecutive class sessions without informing me of your absence.**

**However, ALWAYS file a Drop if you don’t intend to continue with the class to make sure that you are no longer on the roster.**