##### Higher Maths is a challenging course and quite a step up from National 5. The course is essentially a course in functions with a strong emphasis on Calculus skills and techniques, but there are other demanding topics in there also, including Trigonometry and Exponentials and Logarithms.

__Higher Maths Curriculum__

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- Exponential Functions (5:01)
- Graphs of Exponential Functions (8:01)
- Logarithmic Functions (5:42)
- Graphs of Logarithmic Functions (6:57)
- ‘e’ and the Natural Logarithm (5:33)
- Rules of Logarithms (7:22)
- Switching Between Exponential and Log Form (7:02)
- Exponential and Logarithmic Equations 1 (9:57)
- Exponential and Logarithmic Equations 2 (9:53)
- Exponential and Logarithmic Word Problems (11:06)
- Test Your Knowledge
- Reference Notes

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- The CAST Method (8:57)
- Trigonometric Functions Overview (9:47)
- Exact Values for Common Angles – 30, 45, 60 & 90 (10:16)
- Exact Values for Multiples of Common Angles (9:54)
- Understanding Radians (11:43)
- Exact Values for Angles Given in Radians (7:18)
- The Addition Formulas (9:43)
- The Wave Function (13:27)
- The Double Angle Formulas (8:49)
- Proving Trigonometric Identities (10:49)
- Test Your Knowledge
- Reference Notes

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Available in
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after you enroll

Available in
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after you enroll

- Polynomial Expressions (8:01)
- Polynomial Factors (8:47)
- Factorising using Synthetic Division with a Given Factor (9:06)
- Factorising using Synthetic Division without a Given Factor (9:19)
- The Remainder Theorem for Polynomials (8:25)
- The Graph of a Cubic Function (9:37)
- Intersection of a Polynomial with the X-Axis and the Y-Axis (10:49)
- Determining Where a Straight Line and Polynomial Intersect (9:34)
- Using the Discriminant to Determine Unknown Coefficients (8:55)
- Test Your Knowledge
- Reference Notes

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after you enroll

- Solving Trigonometric Equations in Degrees (Calculator) (11:06)
- Solving Trigonometric Equations in Degrees (Non-Calculator) (10:44)
- The CAST Method in Radians (7:38)
- Solving Trigonometric Equations in Radians (Calculator) (10:44)
- Solving Trigonometric Equations in Radians (Non-Calculator) (12:42)
- Solving Trigonometric Equations Involving Double Angles (12:31)
- Test Your Knowledge
- Reference Notes

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after you enroll

- Introduction to Differentiation (6:23)
- The Power Rule for Differentiation (9:22)
- The Gradient Function (11:26)
- The Equation of a Tangent to a Curve (9:48)
- The Chain Rule for Differentiation (8:38)
- Differentiating Trigonometric Functions (6:00)
- Rates of Change (8:16)
- Determining Where a Function is Increasing or Decreasing (8:32)
- Determining the Stationary Points of a Function (10:38)
- Determining the Nature of the Stationary Points of a Function (12:50)
- Sketching the Graph of a Function (17:37)
- Test Your Knowledge
- Reference Notes

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- Introduction to Integration (8:07)
- The Power Rule for Integration (9:53)
- The Chain Rule for Integration (10:32)
- Integrating Trigonometric Functions (7:49)
- Solving Simple Differential Equations (11:18)
- Definite Integrals and the Fundamental Theorem of Calculus (12:33)
- Test Your Knowledge
- Reference Notes

Available in
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after you enroll

Available in
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days
after you enroll

Available in
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days
after you enroll

Available in
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after you enroll

Available in
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after you enroll

#### Hi, I’m Gary, and I'll be your instructor for this course in Higher Mathematics.

I'll be straight with you, I love Math! But I completely get that for most of us it's very challenging, and often frustrating. I'm here to help make it easier for you. I've taught many Higher Maths students. I understand the sticking points and how develop skills and boost confidence. I have a BSc Honours degree in Pure Mathematics and have been educated in both the UK and the US. I own and run a private tuition business where I've served many hundreds of Maths students.