A Plus Math and Calculus

This bundle contains 120 series convergence questions (divided by the types of tests), in a pdf format. The seven convergence tests included are: Test for Divergence (20 questions)Integral Test (20 questions)Alternating Series Test (AST) (20 questions)Comparison Test + Limit Comparison Test (20 questions)Ratio Test + Root Test (20 questions)Bonus: Extra 20 series convergence questions (all tests covered) Brief solutions to each question are given (except for the Alternating Series Test). This r

This bundle contains two files: Calculus 1 final exam review: 8 pages of long answer questions (32 questions, some with multiple parts) + key (full worked-out solutions)Calculus 1 final exam review: 45 multiple choice questions + key (full worked-out solutions)These questions can be used as final exam questions (question bank), or as a review of the final exam. Also suitable for the AP Calculus AB curriculum. Topics covered include: Review of Logarithmic & Exponential FunctionsEvaluating limi

This bundle contains 3 pdf printable handouts: 1. 10 volume of revolution questions that can be solved using the disk method. 2. 10 volume of revolution questions that can be solved using the washer method. 2. 10 volume of revolution questions that can be solved using the cylindrical shells method. The lines of revolution include the x-axis, the y-axis, various horizontal lines and vertical lines. The first version of each worksheet requires the students to draw the region prior to finding

This pdf file contains 10 volume of revolution questions that can be solved using the disk method. The lines of revolution include the x-axis, the y-axis, horizontal lines and vertical lines. The first version of the worksheet requires the students to draw the region prior to finding the volume.The second version of the worksheet has the region already drawn.Answers are also included. It can be used as homework, classroom activity, or a question bank for exams, midterms, tests, or quizzes. Thi

This pdf printable can be used as a graphing paper for drawing polar curves. It has guidelines for the angles as well as the radius. Page 1: One large polar grid with 5 concentric circles (no labels on the radii).Page 2: Smaller version of the polar grid on Page 1. Six polar grids.Typed in LaTeX for a beautiful and professional look. You may also be interested in: Polar Coordinate System Graphing Papers (various radii: 1, 3, 5)Polar Curve Graphing Worksheets

This bundle consists of Calculus 2 (Integral Calculus) Final Exam Review/ Lecture Review in the form of 30 multiple-choice and true/false questions + answers. The questions can be broken up and used as a mini-review in the beginning of a class, or in its entirety as a final exam review for an Integral Calculus course. All questions are multiple choice questions or true/false questions. So they can be used as polls to gauge student understanding (great for flipped classrooms as activity in the

This pdf contains 45 multiple-choice questions from the Calculus 1 syllabus, as well as the fully worked out solutions. This activity can be broken up and used as a mini-review in the beginning of a class, or in its entirety as a final exam review for an Differential Calculus course. All questions are multiple choice questions, so they can be used as polls (iClickers, etc.) to gauge student understanding (great for flipped classrooms as activity in the beginning of class). Alternatively, the

This bundle contains three resources for the final exam review of Calculus 2 (Integral calculus), as well as a final exam. It includes: 30 final exam review questions + answers30 multiple choice questions + answersSample final exam: 1 true/false question (with multiple parts) & 13 long answer questions + full solutions The following topics are covered: Indefinite IntegralsAreasDefinite IntegralsFundamental Theorem of CalculusIntegration by SubstitutionVolumesIntegration by PartsTrigonometric Su

This pdf file contains 8 pages of course review questions and 6 pages of solutions to a standard University Level Calculus 1 ( Differential Calculus, AP Calculus ) course. There are 32 questions in total (some questions with multiple parts). The first question is a true/false question with 8 parts), and the rest are long answer questions. Full worked-out solutions are also included. Topics covered include: Evaluating limits (two-sided, one-sided, limits at infinity, limits using the Squeez

This pdf printable contains the following exercises: Page 1: Plot the polar coordinates on the polar grid.Page 2: Answers to Page 1.Pages 3-9: Plot various polar curves by examining the graph of r as a function of theta in Cartesian coordinates. The types of curves included are: 1 circle, 3 cardioids, 1 limacon, a 4-petal flower, and a 3-petal flower. Pages 10-16: Solutions Pages 3-9. I have color-coded each part of the cartesian curve to the corresponding part

This bundle contains the following lecture notes (all in pdf) for selected topics from Calculus 1 (Differential Calculus): Introduction to Limits (6 pages)Limit Laws, Calculating Limits, Squeeze Theorem (8 pages)Continuity (10 pages)Differentiation Rules (12 pages)Implicit Differentiation (6 pages)Derivatives of Logarithmic Functions & Logarithmic Differentiation (4 pages)L'Hopital's Rule, Indeterminate Forms (6 pages)Curve Sketching (7 pages)Linear Approximation and Differentials (7 pages)Mean

This pdf file gives students the opportunity to practice function transformation of trig functions (sine and cosine). There are 10 questions in total. The types of function transformation included are: - vertical stretch, horizontal stretch - vertical and horizontal shift - reflections about x-axis and y-axis The first page also includes a brief review of function transformation. The worksheet increases in difficulty level as it progresses. Each question also includes a graph of either sin(x)

This bundle contains two files: 1. Lesson: concisely describes the method partial fraction decomposition. It explains how to deal with the following cases: The denominator contains non-repeated linear factors.The denominator contains repeated linear factors.The denominator contains non-repeated quadratic factors.The denominator contains repeated quadratic factors.A question is included for each case. Improper rational function case is also included. It can be used as a handout as a stand-alone

This printable pdf contains 10 volume of revolution questions that can be solved using the cylindrical shells method. The lines of rotation include the x-axis, the y-axis, horizontal lines and vertical lines. The first version of the worksheet requires the students to draw the region prior to finding the volume.The second version of the worksheet has the region already drawn.For both versions, students will write down the radius, height, then the volume integral. Answers are also included. Thi

This bundle provides 6 different differentiation rules worksheets plus answer keys. The following worksheets are included: Power Rule Worksheet (24 questions) + KeyProduct Rule Worksheet (10 questions) + KeyQuotient Rule Worksheet (8 questions) + KeyChain Rule [basic] Worksheet (10 questions) + Key (includes polynomials, root functions, rational functions)Chain Rule Worksheet (12 questions) + Key (includes polynomials, trigonometric functions, exponential functions, root functions, rational func

This product contains 15 Partial Fraction Decomposition of rational functions questions. The following types of questions are included: The denominator contains non-repeated linear factors.The denominator contains repeated linear factors.The denominator contains non-repeated quadratic factors.The denominator contains repeated quadratic factors.Improper rational functions.Key is also included. It can be used as a handout for final exam review or homework/quiz. Alternately, it can be used as a que

This pdf file contains 10 volume of revolution questions that can be solved using the washers method. The lines of rotation include the x-axis, the y-axis, horizontal lines and vertical lines. The first version of the worksheet requires the students to draw the region prior to finding the volume.The second version of the worksheet has the region already drawn.For both versions, students will write down the outer radius, inner radius, then the volume. Answers are also included. It can be used a

This pdf file gives students the opportunity to practice function transformation of trig functions (sine and cosine) in a multiple choice format. There are 14 questions in total. The types of function transformation included are: vertical stretch, horizontal stretch vertical and horizontal shiftreflections about x-axis and y-axis+ combination of these transformationsThe first page also includes a brief review of function transformation. The questions increase in difficulty level as you progress

This bundle contains two resources: Lecture notes on Antiderivatives and Indefinite Integrals -- 6 pages of notesWorksheet of 20 indefinite integral questions, with answers Many examples are interspersed throughout the lecture notes. You may also be interested in the following integration technique bundles: Integration by Substitution Lesson + WorksheetIntegration By Parts Lesson + WorksheetTrigonometric Integrals Lesson + WorksheetIntegration by Trigonometric Substitution Lesson + WorksheetInte

The first pdf file can be used as a lesson in introduction to inverse trigonometry. It covers three inverse trig functions: - arcsine - arccosine - arctangent Also included are: - domain and range of each inverse trigonometric function - graphs of the three inverse trigonometry functions - examples of finding the inverse trig values The second pdf file is a worksheet to provide students with 24 inverse trigonometry drill problems (arcsin, arccos, arctan) + the answer sheet (given in both ra