A Plus Math and Calculus

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 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 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 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 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 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

This bundle contains the following integration technique lessons + printable worksheets suitable for a Calculus 2 class: Antiderivatives & Indefinite Integrals Lesson + Worksheet (6 pages of lesson + worksheet with 20 questions + key)Integration by Substitution Lesson + Worksheet (3 pages of lesson + worksheet with 20 questions + key)Integration By Parts Lesson + Worksheet (6 pages of lesson + worksheet with 20 questions + key)Trigonometric Integrals Lesson + Worksheet (11 pages of lesson + work

This bundle contains two resources: Lecture notes on Integration By Substitution (u-substitution) -- 3 pages of notesWorksheet of 20 questions involving substitution, with brief solutions It includes the substitution rule for indefinite integrals, as well as definite integrals. Many examples are interspersed throughout the lecture notes. Also suitable for AP Calculus curriculum. Typed in LaTeX for a beautiful and professional look. You may also be interested in the following integration techn

This bundle contains the lecture notes (all in pdf) for five integration techniques: Integration by Substitution Lesson (3 pages)Integration by Parts Lesson (6 pages)Trigonometric Integrals Lesson (12 pages)Trigonometric Substitution Lesson (12 pages)Integration by Partial Fraction Decomposition Lesson (6 pages)+ Bonus file: Power Rule Backwards worksheet Typed in LaTeX for a beautiful and professional look. I also have a bundle that contains these lecture notes as well as their scaffolded no

This printable pdf contains 10 areas between curves questions. The students are to express each area as an integral by expressing it with respect to x and also with respect to y. The first version of the worksheet requires the students to draw the region prior to finding the integral for the area of the region.The second version of the worksheet has the region already drawn.Answers are also included. This resource can be used as homework, classroom activity, or a question bank for exams, test,

This pdf worksheet contains 20 series convergence questions that can be solved using the Ratio Test or Root Test.It can be used as a worksheet, or as a question bank to use in tests or exams. The last two pages contain the brief solutions (the final values of the limit, as well as convergence or divergence) to each question. Also appropriate for AP Calculus BC Curriculum. For lecture notes on Ratio Test & Root Test, click here.Additional resources (each covering one or two specific converg

This handout contains limit problems to be answered using the graph of the function.It can be used as classwork, homework, or even a quiz/test. It contains the following types of limit questions: One-sided limitsTwo-sided limitsLimits at infinity*Answer key is also included. Typed in LaTeX for a beautiful and professional look. You may also be interested in the following limit worksheets: Introduction to Limits Worksheet & KEYOne-Sided Limits Worksheet & KEYLimits at Infinity Worksheet & KEYLi

This product contains 20 integral questions to be solved using the technique of Trigonometric Substitution.The following questions are included: Trigonometric substitution of the form x = a sin (t)Trigonometric substitution of the form x = a tan (t)Trigonometric substitution of the form x = a sec (t)Both indefinite integrals and definite integral questions are included. Brief solutions are also included. It can be used as a handout for final exam review (or a review of integration techniques).