Free Online Course Materials | Derivative of sin x and cos x Olympiad - E.M.E.O Math S1101 - Calculus I - Syllabus Alice Rizzardo Fall 2009 We'll cover the theory and applications of differential calculus and get a glimpse into the world of integral calculus and the fundamental theorem of calculus, an amazing result that connects differential and integral calculus in a surprising and very useful way. Contact information You can contact me by email at rizzardo@math.columbia.edu . My office is in math 408. Class Schedule Monday and Wednesday, 4:10-5:25 pm Room 417 Required text James Stewart, Calculus (Early Transcendentals), 6th edition published by Thomson Brooks/Cole. Important Dates Midterm I: October 7 Midterm II: November 16 Final Exam: projected Monday, Dec 21 4:10-7:00 pm Details Workload: There is much to be done in a relatively short period of time, so please try to keep up. Homework: I will assign homework during most class meetings. To receive full credit for a solution, it is not enough for you to simply write down the correct answer. Tentative Syllabus:
THE CALCULUS PAGE PROBLEMS LIST Problems and Solutions Developed by : D. A. Kouba And brought to you by : Beginning Differential Calculus : Problems on the limit of a function as x approaches a fixed constant limit of a function as x approaches plus or minus infinity limit of a function using the precise epsilon/delta definition of limit limit of a function using l'Hopital's rule ... Beginning Integral Calculus : Problems using summation notation Problems on the limit definition of a definite integral Problems on u-substitution Problems on integrating exponential functions Problems on integrating trigonometric functions Problems on integration by parts Problems on integrating certain rational functions, resulting in logarithmic or inverse tangent functions Problems on integrating certain rational functions by partial fractions Problems on power substitution Problems on integration by trigonometric substitution ... Sequences and Infinite Series :
7 Tech Upgrades to the Old-School Science Class Long gone are the days of science fair poster boards and paper quizzes, at least not exclusively. Technological breakthroughs have flooded into classrooms, changing the face of K-12 education. From smart boards to smartphones, these digital trends have become useful educational tools in the teaching process. While today's kids are learning the same lessons and concepts, they are absorbing in different ways. With new apps and interactive sites, science class, in particular, has received a few upgrades. We took a look at how science technology has evolved over time, and what adjustments have been made. 1. Anatomy teachers loved that life-sized plastic skeleton model hanging in the back of the classroom. In the touch of a button, you can hide or fade certain bones, view different angles, pin notes on the 3D model and read descriptions of each bone. 2. Remember those old school tri-fold poster boards you used at the science fair? 3. 4. 5. 6. 7. No test tube?
Free Online Course Materials | Derivatives of ln y and sin ^-1 (y) Vojtěch Jarník International Mathematical Competition MDTP - Online Diagnostic Test MDTP on-line multiple-choice tests were designed to help individual students review their readiness for some mathematics courses and may be useful in preparing for some mathematical placement tests used by some California colleges and universities. Each on-line test includes a diagnostic scoring report to help students identify strengths and weaknesses in some topic areas. These 40 question multiple-choice tests should be taken without a calculator. The recommended time needed for taking each test is approximately one hour, but there is no enforced time limit. MDTP has two on-line tests available for student use to help them prepare for Precalculus and Calculus level mathematics courses. There is no fee for taking these tests. On-line Mathematical Analysis Readiness Test (MR) The MR test should be taken prior to courses typically called trigonometry, precalculus, or math analysis. On-line Calculus Readiness Test (CR) The CR test should be taken prior to a Calculus course.
The AP Calculus BC Exam Exam Content In 1956, 386 students took what was then known as the AP Mathematics Exam. By 1969, still under the heading of AP Mathematics, it had become Calculus AB and Calculus BC. The Calculus BC exam covers the same differential and integral calculus topics that are included in the Calculus AB exam, plus additional topics in differential and integral calculus, and polynomial approximations and series. If students take the BC exam, they cannot take the AB exam in the same year because the exams share some questions. Multiple-Choice Questions For sample multiple-choice questions, refer to the Course Description. AP Calculus Course Description, Effective Fall 2012 (.pdf/2.28MB) AP Calculus Multiple-Choice Question Index: 1997, 1998 and 2003 AP Calculus Exams(.xls/144KB) Free-Response Questions Below are free-response questions from past AP Calculus BC Exams. AP Calculus Free-Response Question Collections 2013: Free-Response Questions 2012: Free-Response Questions 2011: Free-Response Questions