Fundamental Theorem of Calculus: https://youtu.be/QDzro6_eOx0 https://youtu.be/WVsARMMJ49k Definition of the Integral: https://youtu.be/YOLP3sDKwAE?si=PfBO5Cgx9i5nHi3o Prior Knowledge: https://youtu.be/VtcAXsy_QKQ?list=PLB46vjmEuCC20q-4gtl0xE_EeNtd2tk__ https://youtu.be/RIn7am4KhCU?si=xHKmyk15pdCS5uX5 00:00 Introduction 00:14 Antidifferentiation Example 01:29 Notation for Antidifferentiation 02:35 Basic Antiderivative Rules 03:21 The Definite Integral Explained

Prior Knowledge https://youtu.be/VtcAXsy_QKQ https://youtu.be/RIn7am4KhCU https://youtu.be/htLXt61SOvc Private Tutoring Enquiries: contact@wyneducation.com www.wyneducation.com

Private Tutoring Enquiries: contact@wyneducation.com www.wyneducation.com

Prior Knowledge: https://youtu.be/XvA7mR3RW5o https://youtu.be/ablVVBy-21E https://youtu.be/VtcAXsy_QKQ https://youtu.be/9pyF71bgKY4 Key Concepts: 00:00 Overview of Sketching Rational Functions 01:18 A Checklist for Sketching Rational Functions 08:50 Sketching Reciprocal Functions 12:37 Application of Sketching Rational Functions

**The polynomials in a rational function can have complex/imaginary coefficients** Exploring Stationary Points: https://youtu.be/ablVVBy-21E

Tutoring Enquiries: contact@wyneducation.com **The x-axis is cut off on the last problem :-| ... you get the idea! Prior Knowledge https://youtu.be/uK10FwKGtcM?si=B_pvZ-kQL1BbQvVm https://youtu.be/IppKqgbu19A?si=Gi_Z83w3QZi19Y3m https://youtu.be/RIn7am4KhCU https://youtu.be/VtcAXsy_QKQ?si=w8qxetG60kzQBPOO https://youtu.be/QJ5xQRLhNqI Key Concepts 00:00 Overview 01:24 Relating Rates of Change for a Square Based Pyramid 07:07 Related Rates of Change Problem 09:38 Related Rates of Change for Parametric Equations 13:21 Related Rates of Change for Parametric as a Composition 16:24 Related Rate of Change for Parametric Equations Problem

Tutoring Enquiries: contact@wyneducation.com Prior Knowledge https://youtu.be/VtcAXsy_QKQ https://www.youtube.com/playlist?list=PLB46vjmEuCC0OQrIkSV0HDNKbGQTRisN- Key Concepts: 00:00 Overview 00:38 The Second Derivative Explained 03:01 Concavity & Points of Inflection 07:02 Classifying Points Through Derivative Analysis

Prior Knowledge: https://youtu.be/FwGRZQXwXUQ?si=LnTRynrmHoX3UaTB https://youtu.be/TeKZMTgKjEg?si=kc6Ox-iaWBIGLMdm https://youtu.be/VtcAXsy_QKQ?si=7_u8y_s5xj8j3e7L https://youtu.be/uK10FwKGtcM?si=b-uDy5lKsX5xKzeq https://youtu.be/O9V4sUx0QFE?si=yFIh5Oyq0McgDt_K https://youtu.be/QJ5xQRLhNqI?si=SoBoKsp_HLv8nAqf 00:00 Overview of Derivatives of Inverse Circular Functions 01:00 Derivative of Inverse Sine Visualised 03:35 Derivative of Inverse Cosine Visualised 04:35 Derivative of Inverse Tangent Visualised 05:30 Proof(s) of Inverse Cosine Derivative 08:20 Inverse Sine Function Derivative 10:17 Inverse Cosine Function Derivative 11:31 Inverse Tangent Function Derivative 12:55 Inverse Circular Function Derivative Application

Complementary Info: https://youtu.be/uK10FwKGtcM https://youtu.be/VtcAXsy_QKQ https://youtu.be/TeKZMTgKjEg