# IGCSE Add Maths Year 11

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 Module 1 Trigonometry - IGCSE Add Maths Year 11 (119.23 mins) Know the 6 trigonometric ratios. Understand the base or reference angles. Special angles. Trigonometric functions – amplitude and periodicity and sketching and drawing of graphs $$y=asinb^x+c$$, $$y=acosb^x+c$$ and $$y=atanb^x+c$$. Know and use trigonometric identities. Solve trigonometric equations step by step. Prove trigonometric identities. (6 videos) (119.23 mins) Unit 1 IGCSE Year 11 - Trigonometry PDF Unit 2 IGCSE Year 11 - Trigonometry Video Unit 3 IGCSE Year 11 - Trigonometry Assignment Module 2 Trigonometric differentiation - IGCSE Add Maths Year 11 (29.77 mins) This topic should be studied after you have watched differentiation. This involves using derivatives of $$sinx$$, $$cosx$$, $$tanx$$, $$sin(a^x+b)$$, $$cos(a^x+b)$$ and $$tan(a^x+b)$$. Examples shown step by step. (2 videos) (29.77 mins) Unit 1 IGCSE Year 11 - Trigonometric differentiation PDF Unit 2 IGCSE Year 11 - Trigonometric differentiation Video Unit 3 IGCSE Year 11 - Trigonometric differentiation Assignment Module 3 Permutations and combinations - IGCSE Add Maths Year 11 (58.25 mins) Difference between a permutation and a combination.The multiplication principle. The Blank Space Method to use in permutations. Factorial notation. Lots of fully worked examples. (4 videos) (58.25 mins) Unit 1 IGCSE Year 11 - Permutations and combinations PDF Unit 2 IGCSE Year 11 - Permutations and combinations Video Unit 3 IGCSE Year 11 - Permutations and combinations Assignment Module 4 Differentiation - IGCSE Add Maths Year 11 (69.7 mins) Understand the idea of a derived function. Notation and concepts including limits. Basic differentiation formula and rules of differentiation include product rule and quotient rule. Apply to differentiation to gradients, tangents and normals. (6 videos) (69.7 mins) Unit 1 IGCSE Year 11 - Differentiation PDF Unit 2 IGCSE Year 11 - Differentiation Video Unit 3 IGCSE Year 11 - Differentiation Assignment Module 5 Applications of differentiation - IGCSE Add Maths Year 11 (67.07 mins) Apply differentiation to gradients, tangents, normals,maximum and minimum points,connected rates of change, small increments and approximations. Practical maxima and minima problems. (4 videos) (67.07 mins) Unit 1 IGCSE Year 11 - Applications of differentiation PDF Unit 2 IGCSE Year 11 - Applications of differentiation Video Unit 3 IGCSE Year 11 - Applications of differentiation Assignment Module 6 Differentiation of exponential & logarithmic functions - IGCSE Add Maths Year 11 (34.32 mins) Derive $$dy/dx$$ for $$e^x$$, $$e^{ax+b}$$, $$ln x$$, $$ln (ax+b)$$ and some applications. (3 videos) (34.32 mins) Unit 1 IGCSE Year 11 - Differentiation of exponential and log functions PDF Unit 2 IGCSE Year 11 - Differentiation of exponential and log functions Video Unit 3 IGCSE Year 11 - Differentiation of exponential and log functions Assignment Module 7 Integration - IGCSE Add Maths Year 11 (60.38 mins) Understand integration as the reverse of differentiation. Methods of integration. Definite integrals. (5 videos) (60.38 mins) Unit 1 IGCSE Year 11 - Integration PDF Unit 2 IGCSE Year 11 - Integration Video Unit 3 IGCSE Year 11 - Integration Assignment Module 8 Integration of trigonometric & exponential functions - IGCSE Add Maths Year 11 (31.55 mins) Integrate sum of terms in powers of $$x$$ Integrate functions of the form $$ax^n$$, $$(ax+b)^n$$, $$e^{ax+b}$$, $$sin(ax+b)$$, $$cos (ax+b)$$, $$sec^2 (ax+b)$$ (2 videos) (31.55 mins) Unit 1 IGCSE Year 11 - Integration of trigonometric & exponential functions PDF Unit 2 IGCSE Year 11 - Integration of trigonometric & exponential functions Video Unit 3 IGCSE Year 11 - Integration of trigonometric & exponential functions Assignment Module 9 Areas (evaluation of plane areas) - IGCSE Add Maths Year 11 (60.18 mins) Apply integration to evaluation of plane areas. (5 videos) (60.18 mins) Unit 1 IGCSE Year 11 - Areas PDF Unit 2 IGCSE Year 11 - Areas Video Unit 3 IGCSE Year 11 - Areas Assignment Module 10 Kinematics - IGCSE Add Maths Year 11 (95.85 mins) Application of differentiation and integration to problems involving displacement, velocity and acceleration of a particle moving in a straight line with variable or constant acceleration. Use of v-t and s-t graphs. (5 videos) (95.85 mins) Unit 1 IGCSE Year 11 - Kinematics PDF Unit 2 IGCSE Year 11 - Kinematics Video Unit 3 IGCSE Year 11 - Kinematics Assignment Module 11 Vectors - IGCSE Add Maths Year 11 (85.78 mins) Use of vectors in any form. Know and use position vectors and unit vectors. Find magnitude of a vector. Add and subtract vectors. Multiply vectors by scalars. (6 videos) (85.78 mins) Unit 1 IGCSE Year 11 - Vectors PDF Unit 2 IGCSE Year 11 - Vectors Video Unit 3 IGCSE Year 11 - Vectors Assignment Module 12 Relative velocity - IGCSE Add Maths Year 11 (99.66 mins) Main concepts. Relative velocity equation. Steps to solving relative velocity problems. Compose and resolve velocities. Use relative velocity including solving problems on interception. Fully worked solutions to practical problems. (5 videos) (99.66 mins) Unit 1 IGCSE Year 11 - Relative velocity PDF Unit 2 IGCSE Year 11 - Relative velocity Video Unit 3 IGCSE Year 11 - Relative velocity Assignment