Higher Mathematics
The perfect study tool for all Higher Maths students. Whether you’re falling behind in class, don’t understand a topic, or need help prepping for the final exams, we’ve got you covered with 85 on-demand video classes, more than 500 practice questions with full step-by-step solutions, and comprehensive reference notes. Access across devices, including a convenient app. Scroll to learn more and start a FREE one week trial.
The Complete Online Higher Maths Course
Higher Maths Curriculum
- 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)
- Quick Practice Questions
- Full Practice Questions
- Reference Notes
- 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)
- Quick Practice Questions
- Full Practice Questions
- Reference Notes
- Graph Transformations – General Rules (12:14)
- Graph Transformations for Trigonometric Functions (15:14)
- Graphs of Quadratic Functions in Completed Square Form (13:57)
- The Domain & Range of a Function (15:56)
- Composite Functions (9:14)
- Inverse Functions (8:38)
- Quick Practice Questions
- Full Practice Questions
- Reference Notes
- 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)
- Quick Practice Questions - Polynomials
- Quick Practice Questions - Quadratics
- Full Practice Questions
- Reference Notes
- 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)
- Quick Practice Questions
- Full Practice Questions
- Reference Notes
- 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)
- Quick Practice Questions - Power Rule & Chain Rule
- Quick Practice Questions - Stationary Points
- Full Practice Questions
- Reference Notes
- 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)
- Quick Practice Questions - Power Rule & Chain Rule
- Quick Practice Questions - Definite Integrals
- Full Practice Questions
- Reference Notes
- Introduction to Recurrence Relations (8:39)
- Determining a Recurrence Relation (10:46)
- Calculating a Term from a Recurrence Relation (7:38)
- Determining Whether a Recurrence Relation has a Limit (9:12)
- Finding the Limit of a Recurrence Relation (12:36)
- Quick Practice Questions
- Full Practice Questions
- Reference Notes
- Maximum and Minimum Values on a Closed Interval (14:09)
- Determining Optimal Solutions (Optimization) (12:52)
- Finding the Area Under a Curve (12:08)
- Finding the Area Between Two Curves (17:43)
- Quick Practice Questions - Optimization
- Quick Practice Questions - Area Under a Curve
- Full Practice Questions
- Reference Notes
Who is the Higher Maths Course For?
Higher Maths is a common requirements for anyone wishing to puruse a career in science, technology or engineering, as well as for students pursuing technical higher education courses. Students taking Higher Maths should already have completed National 5 Maths, ideally passing with an A or B grade. View the CLASSROOM.
What is Taught in Higher Maths?
Exponentials & Logarithms, Trigonometry, Functions, Vectors, Polynomials, Trigonometric Equations, Differentiation, Integration, Straight Lines, Circles, Recurrence Relations. View the full CURRICULUM.
What Will I Take Away From This Course?
Higher Maths has a strong focus on Mathematical functions and particularly on introducing students to key Calculus techniques. These are used in many discplines such as engineering, science and finance. Higher Maths, especially the Calculus topics, provide a solid foundation for students wishing to pursue Advanced Higher.
How Does Higher Maths Compare to National 5 Maths?
National 5 Maths has a diverse curriculum with a focus on introducing and developing key algebra skills. Higher Maths assumes those algebra skills are already in place and focuses instead on more advanced skills such as Trigonometry, Calculus and Functions.
What is the Progression From Higher Maths?
Students who have completed Higher Maths will have good fundamental skills for taking on Advanced Higher Maths if required but will also have the entry criteria for a range of technical higher education courses as well as technical careers.
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 to help you develop skills and boost your 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.