Quick Review of Topics in Calculus: Functions (Quick Review Notes)

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Part II includes Riemann sums and integrals, techniques and applications of integration, improper integrals, transcendental functions logarithms, exponential functions, and inverse trigonometric functions , sequences, and series. Though not all results are derived rigorously, care is taken to distinguish intuitive arguments from rigorous proofs.

Calculus.org Resources For The Calculus Instructor:

Math and each fulfill the Formal Analysis requirement. Prerequisite for Math appropriate score on the mathematics placement test, or appropriate grade in Math Offered every fall and spring Prerequisites In order to register for Math , you need to either pass the math placement test, available, anytime. Description for the course.


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This is the first course in a two-semester calculus sequence designed for students majoring in a field that requires the tools of calculus. Besides the computational aspects of calculus, we will develop the concepts of calculus with some rigor. This first semester, Math , includes differential calculus, the concept of integration, and the Fundamental Theorem of Calculus FTC which connects differentiation to integration. Topics include functions, limits, continuity, differentiation of algebraic and trigonometric functions, mean value theorem, applications of derivatives, definition of integrals and their basic properties, and the FTC.

Next semester, Math , covers techniques of integration, applications of integration, a short introduction to differential equations, sequences, series, and power series. See goals for an outline of the course goals including knowledge, intellectual and practical skills, skepticism and the mathematical mind, and integrating knowledge and skills Textbook. The book without access to MyMathLab is not enough, but you can get the access package either with the printed textbook or without it.

The Clark University Bookstore has it. We will discuss the first four chapters and part of the fifth chapter in Math We'll cover later chapters in Math Accessing MyMathLab. That depends on the section you're registered for. Ask your instructor for it. An Access Code.

This comes with the book that you purchased. It can be purchased separately. Keep a record of your purchase. There you will give your course ID and follow the steps given.

Be careful to put in your name precisely as it appears in the university records. At the end of the registration process you will have a login name and password. Each time you want to access MyMathLab , click on Sign in under sign in , and then put in your data. On the left of the resulting screen you will see Math Click on that. From here you can do an assignment, take a test, etc. You also have a Multimedia Library which contains useful material. By the way, you can access MyMathLab from any computer on the internet.

As a final note, remember that aside from online support, Pearson offers tech support for MyMathLab, so you can call them if anything goes wrong. In the past the web site has sometimes been down for short periods of time, but it came back up fairly quickly. Concerning calculators.

You won't need one beyond the scientific calculator that's available on every computer, and that won't be needed except on a few homework exercises that ask for decimal answers. Calculators won't be allowed during tests, and they're not needed on the tests.

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Piecewise defined functions worksheet

The course will use the software MyMathLab for the homework assignments. It will also be employed to practice problem solving. If you get an exercise wrong, you'll be able to try it a second time. Some of the questions on the assignments will ask you for numerical answers.

A standard scientific calculator has everything you need. The on-line exercises correspond to these exercises in the text. In previous years we had regular evening times where students could walk in to get help. There wasn't enough demand and on many evenings no students showed up, so we're trying something different this year.

There are currently 8 upperclass students who you may contact to set up one or more tutoring lessons.

Piecewise defined functions worksheet

Their names and email addresses will be sent to you by email. The department will pay these students by the hours they work, so please contact them for help. That comes to about five to nine hours outside of class on average per week, the actual amount varying from week to week. Here's a summary of a typical semester's hours Regular class meetings, 14 weeks, 42 hours Two evening midterms and final exam, 6 hours Reading the text and preparing for class, 4 hours per week, 56 hours Doing 28 daily homework assignments, 56 hours Meeting with tutors or in study groups, variable 4 to 12 hours Reviewing for midterms and finals, 12 hours For more detail about how to study mathematics, see About studying mathematics in general, and Calculus in particular.

Tests and final exam There will be two tests during the semester and a final examination during finals week in December. The final is cumulative, but post-midterm material will be emphasized. The tests are closed book, no calculators, and no notes allowed. You can leave your answers in terms as algebraic expressions on tests. There may also be short quizzes given periodically throughout the semester.

Dates for the midterms and finals are tentative.

Course summary

First midterm. Third week in September. On chapter 2 on limits and continuity Second midterm. Fourth week in October. This will not let you panic at the end of the paper. Read the question paper thoroughly: It is important for students to first spot questions which they can answer well and prioritize those questions to be attempted.


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  • So, the entire order of attempting questions should begin from attempting known to unknown questions. Give 15 minutes reading time for going through the 29 questions. Each section needs to start from a fresh page with proper question number against it. Avoid doing rough work in every question and drawing a margin on every sheet as it reduces the width of the page.

    Try to follow this: for section A — two pages, section B — one sheet, section C and D — two sheets per questions for writing answers. Keep minutes exclusively for rectification at the end. If you get stuck while solving questions, leave the answer midway and attempt the next question which you know.

    This helps save time and you can come back to the same question later with a fresh mind. If you feel too anxious, take a deep breath a few times or drink water. Do not feel over-stressed for one or two questions and focus on cracking the remaining ones which you know well. Avoid getting influenced by the stressful environment of the examination hall. Remember that some questions may look different but are not really difficult, so never give up easily. Many common mistakes happen in over familiar topics.

    Attempt per cent: Even if you have doubts in some questions, always try to attempt the whole question paper. When you skip a question, you lose out on the opportunity to score a better result. CBSE Marking Scheme is based on steps and so proportionate marks are given even if the full answer is not correct. Avoid Overwriting and Scribbling: Presenting the answer sheet well and systematic work are always rewarding.

    Of course, no one can change their hand-writing, but ensure that it is legible by avoiding overwriting and scribbling. If something step is wrongly written, then simply cross it out and write again instead of over-writing. Label Figures and Graph Properly: Things like the graph of linear programming, figures supporting plane or a rough sketch of area of bounded region should be neatly drawn and well labeled. Giving Time to Rectification: If you somehow manage to finish the paper early, which does happen with many students, do not submit the paper or leave the exam room.

    Sometimes, answer papers contain silly mistakes, so go through them again and rectify errors. Submission: After rectification is done, tie the extra sheets properly and ensure that sheets are in order before submitting it. Maths is actually fun if you solve it enough to make it a challenge and it soon starts to showcase magnificence. We hope you enjoy it the same.

    It should be noted that both these subjects are practice-based. A straight 5 mark question comes from this chapter, a little practice of understanding the questions and writing the linear equations might easily reward you the 5 marks.

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