Required Syllabus Information

• CRN: 85165

• Meeting Times:

  • Monday and Wednesday 12:45 - 3:10

  • Class is in-person in room MS 320

Instructor: David Rubinstein

Email: drubinstein@sdccd.edu

Office: MS 215K

Student Visiting Hours will be Held in my Office in MS 215K.

1. Monday 11:30 -12:30

2. Thursday 12:30 - 1:30 

You will not have to pay for anything in my class. 

What you will need for the class is:

• Canvas

  • You will all have access to Canvas by the first day of class. There, you will be able to access all of the resources for the class including pre-lecture readings, homework, and classroom assignments. 

  • Your grades will also be accessed on Canvas.

• Either a Laptop or a Tablet

  • You can request to borrow one from the library by filling out this form.

  • We will be using online graphing and computing softwares throughout the course, and they work much better on anything besides a phone.

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 epsilon-delta limit proof for simple polynomials.

3. Recognize and evaluate the "limit" 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.

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. 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, and 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 and Simpson's Rule.

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

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

1. Students will evaluate a definite integrand with a non-polynomial algebraic integral by using a u substitution with correct form and notation.

2. Students demonstrate understanding of related rates by modeling an application using correct notation.

Attendance is required by Mesa College policy and you are expected to attend each meeting throughout the semester. If you must miss a class, please inform me with an e-mail and check online schedule for due assignments. 

• If for some reason you decide to withdraw from this class, please do so officially. Do not assume that I will drop you by the required date. Dropping the course is a student’s responsibility; you must drop all classes if you are no longer attending.

• You are reminded that a 'W' cannot be recorded for you after Apr 18th. If you fail to withdraw by this date, I cannot drop you and an appropriate academic letter grade will be assigned.

• It’s the instructor’s discretion to withdraw a student after the add/drop deadline due to excessive absences.

• Students who remain enrolled in a class beyond the published withdrawal deadline, as stated in the class schedule, will receive an evaluative letter grade in the class.

• Academic Integrity:

  • Students are expected to be always honest and ethical in the pursuit of academic goals. Students who are found to be in violation of Administrative Procedure 3100.3 Honest Academic Conduct, will receive a grade of zero on the assignment, quiz, or exam in question and may be referred for disciplinary action in accordance with Administrative Procedure 3100.2, Student Disciplinary Procedures.

• Student Code of Conduct:

  • Students are expected to adhere to the Student Code of Conduct at all times. Students who violate the Student Code of Conduct may be removed from class by the faculty for the class meeting in which the behavior occurred, and the next class meeting. The Student Code of Conduct can be found in Board of Trustees Policy, BP 3100, Student Rights, Responsibilities and Administrative Due Process posted on the District website at:  http://www.sdccd.edu/public/district/policies/index.shtml