MATH&151 04 8321 - W26 - Calculus I

Our syllabus is currently under construction. I am still making changes and will have a full updated version by January 4th. DO not download this but use it as an overview. There may be changes happening by Jan. 4th. 

Math 151 W26 KIM.docx

Communication: Do not hesitate to reach out or send me an email if you have any comments,

questions or concerns. During the week I will respond within 24 hours of receiving your email,

and next business day on the weekend.

Course Description:

Topics of calculus are presented geometrically, numerically, and symbolically. MATH& 151 topics include limits, introduction to differentiation (including derivatives of exponential and logarithmic functions), and applications of the derivative. Graphing calculator required.

Student Learning Outcomes:

Upon successful completion of the course, students will be able to:

• Find the limit of a function analytically using properties of limits and L'Hopital's Rule. Approximate the limit of a function from a table or graph.
• Use the limit definition of the derivative to find the derivative function and the derivative of a function at a point.
• Estimate the value of the derivative at a point from a table of values or graph.
• Find the derivatives of polynomial, rational, logarithmic, exponential, and trigonometric functions using the product, quotient, and chain rules.
• Use derivatives to determine where the graph of a function is increasing/decreasing and concave up/down.
• Use derivatives to analyze the graphs of parametric curves.
• Use the first and second derivative tests to find local extrema, global extrema, and inflection points.
• Solve application problems that require the use of the derivative from the numerical, graphical, and/or symbolic perspective.
• Write clear and complete solutions to mathematical problems, including correct notation and written explanations when appropriate.
• Use graphing calculators and computer software as appropriate.

Course Content:

• Real numbers, coordinate systems in two dimensions, lines, functions
• Introduction to limits, definition of limits, theorems on limits, one-sided limits, computation of limits using numerical, graphical, and algebraic approaches, delta-epsilon proofs; continuity and differentiability of functions, determining if a function is continuous at a real number; limits at infinity, asymptotes; introduction to derivatives and the limit definition of the derivative at a real number and as a function
• Use of differentiation theorems, derivatives of algebraic, trigonometric, inverse trigonometric, exponential, logarithmic, and hyperbolic functions, the chain rule, implicit differentiation, differentiation of inverse functions, higher order derivatives, use derivatives for applications including equation of tangent lines and related rates, and differentials
• Local and absolute extrema of functions; Rolle's theorem and the Mean Value Theorem; the first derivative test, the second derivative test, concavity; graphing functions using first and second derivatives, concavity, and asymptotes; applications of extrema including optimization, antiderivatives, indeterminate forms, and L'Hopital's rule
• Sigma notation, area, evaluating the definite integral as a limit, properties of the integral, the Fundamental Theorem of Calculus including computing integrals, and integration by substitution

Textbook:

Great news: your textbook for this class is available for free online!
Calculus, Volume 1 from OpenStax, ISBN 1-947172-13-1

You have several options to obtain this book:

• View online (Links to an external site.) (Links to an external site.)
• Download a PDF (Links to an external site.) (Links to an external site.)

You can use whichever formats you want. Web view is recommended -- the responsive design works seamlessly on any device.

Technology:

Any TI-83 or TI-84 calculator is the required calculator for this course.  The required course calculator will be the only calculator allowed on closed-book exams or quizzes.  Additionally, you are not allowed to share a calculator with another classmate during a quiz or exam.  If you forget a calculator on an exam or quiz day, calculators are available for 2 hour check-out at the SEMTC provided you have photo ID. Graphing calculators may be used for homework, quizzes, and exams. You may not use your cell phone as a calculator during a quiz or an exam.

Important Notes:

• All first-week assignments need to be completed and submitted by the due date to avoid being dropped from the class.

• If you have established disability accommodations with the Access Services office, please share your approved accommodations with me at your earliest convenience. You can request that Access Services email your Letter of Accommodation to me, or you can provide me with printed copies.  Once you have shared the disability accommodation documentation, you must meet with me so that I can be sure I understand your needs and that appropriate arrangements can be made.
  
  If you have a disability or health condition and have not established services, please contact Access Services at (253) 460-4437 or access@tacomacc.edu.  Access Services coordinates reasonable accommodations for students with disabilities.

• Academic dishonesty and plagiarism will result in a failing grade on the assignment. Using someone else's ideas or phrasing and representing those ideas or phrasing as our own, either on purpose or through carelessness, is a serious offense known as plagiarism. "Ideas or phrasing" includes written or spoken material, from whole papers and paragraphs to sentences, and, indeed, phrases but it also includes statistics, lab results, art work, etc.  Please see the Tacoma Community College handbook for policies regarding plagiarism, harassment, etc. Tacoma community college's academic honesty policies]