1.INTRODUCTION INTEGRATION
2.INTEGRATING POLYNOMIALS
3.INTEGRAL OF 1/x
4.INTEGRATION BY SUBSTITUTION
5.INTEGRATING TRIGONOMETRIC FUNTIONS
6.INTEGRATING EXPONENTIALS
7.INTEGRALS LEADING TO INVERSE FUNCTIONS
8.INTEGRATING BY PARTS
9.INTRODUCING DEFINITE INTEGRALS
10.AREA BETWEEN CURVES
11.AREA BETWEEN CURVE AND y-AXIS
12.VOLUMES OF REVOLUTION
13.NUMERICAL INTEGRATION
14.KINEMATICS
15.INTRODUCING DIFFERENTIAL EQUATIONS
16.GENERAL AND PARTICULAR SOLUTIONS
17.SEPARATING VARIABLES
18.USING SUBSTITUTION WITH HOMOGENEOUS
19.USING INTEGRATING FACTOR METHOD
20.USING EULER'S METHOD
The Unit 12 Resource Bundle Get your classroom time back with materials designed for the thinking process.
✅ 20 Printable Worksheets
✅ Complete Worked Solutions
✅ Delivered via Email (PDF)
A Note from the Creator: I’ve priced this bundle at $9.99, roughly the cost of two cups of coffee. While the caffeine keeps me fueled to build these courses between my own teaching shifts, these PDFs are here to help you stop racing the bell and start mentoring again.
Integral Calculus
• Covers: This comprehensive module provides a deep dive into integral calculus and its applications. It starts with antidifferentiation, covering the introduction to integration, integrating polynomials, special functions like 1/x, and advanced techniques such as integration by substitution and integration by parts. It also includes the integration of trigonometric functions, exponentials, and integrals leading to inverse functions. The module then progresses to definite integrals, exploring their introduction, calculating areas between curves, areas between curves and the y-axis, volumes of revolution, numerical integration, and applications in kinematics. Finally, it delves into differential equations, covering their introduction, finding general and particular solutions, separating variables, using substitution for homogeneous equations, the integrating factor method, and Euler's Method.
• Outcomes: Master various integration techniques, including integration by substitution and integration by parts. Confidently integrate polynomials, trigonometric functions, exponentials, and functions leading to inverse trigonometric forms. Understand and apply definite integrals to calculate areas between curves, volumes of revolution, and solve kinematics problems. Utilize numerical integration techniques. Solve various types of differential equations, including those requiring separation of variables, substitution for homogeneous equations, the integrating factor method, and Euler's Method.
TESTIMONIAL
"I enjoyed the structure of the questions and answers, and the quantity of questions that were available in order to practise the skills that I attained. I gained an understanding of algebra and calculus from a different angle than ways that I have been taught by previous teachers. Anyone who is looking to achieve in algebra and calculus and cannot attend school for any reason should definitely enroll in this course"
🎓 Q. C. – Year 12 Student
