GRADE 12 MATHS US/OTHER COUNTRY SYLLABI Courses /GRADE 12 MATHS US/OTHER COUNTRY ... GRADE 12 MATHS US/OTHER COUNTRY SYLLABI MATHS TOPPERS ACADEMY COURSE NAME INTERNATIONAL BOARD EXAM COACHING STANDARD GRADE 12 SUBJECTS MATHS MEDIUM ENGLISH MODE ONLINE OFFLINE FEE CONTACT : 7200205222 AVAILABLE TIMINGS CONTACT : 7200205222 DAYS MONDAY/WEDNESDAY/FRIDAY TUESDAY/THURSDAY/FRIDAY TEST PROCEDURES FOR EACH TERM 15 MICRO TESTS 15 UNIT TESTS 5 FULL PORTION TESTS 2 PRE BOARD EXAMS TEST SHEDULE CONTACT : 7200205222 COURSE DURATION TILL EXAM ONLINE MATERIALS TOPIC WISE/EXERCISE WISE SOLUTIONS, PRACTICE PROBLEMS, PAST PAPERS, SAMPLE PAPERS ALL THE BEST GRADE 11 INTERNATIONAL SYLLABI PORTIONS & SHEDULE Class XI MATHS (international Syllabi) Portions & Schedule Functions Domain and range Identify functions Find the slope of a linear function Graph a linear function Write the equation of a linear function Find values using function graphs Evaluate functions Complete a table for a function graph Add, subtract, multiply and divide functions Composition of functions Identify inverse functions Find values of inverse functions from tables Find values of inverse functions from graphs Find inverse functions and relations Families of functions Translations of functions Reflections of functions Dilations of functions Transformations of functions Function transformation rules Describe function transformations Divide polynomials using long division Polynomials Divide polynomials using synthetic division Evaluate polynomials using synthetic division Write a polynomial from its roots Find the roots of factorised polynomials Rational root theorem Complex conjugate theorem Conjugate root theorems Descartes' Rule of Signs Fundamental Theorem of Algebra Match polynomials and graphs Factorise sums and differences of cubes Solve equations with sums and differences of cubes Factorise using a quadratic pattern Solve equations using a quadratic pattern Pascal's triangle Pascal's triangle and the Binomial Theorem Binomial Theorem I Binomial Theorem II Systems of inequalities Solve systems of linear inequalities by graphing Solve systems of linear and absolute value inequalities by graphing Find the vertices of a solution set Linear programming Nonlinear inequalities Graph solutions to quadratic inequalities Solve quadratic inequalities Graph solutions to higher-degree inequalities Find the roots of factorised polynomials Solve higher-degree inequalities Matrices Matrix vocabulary Matrix operation rules Add and subtract matrices Multiply a matrix by a scalar Linear combinations of matrices Multiply two matrices Simplify matrix expressions Solve matrix equations Determinant of a matrix Is a matrix invertible? Inverse of a 2 x 2 matrix Inverse of a 3 x 3 matrix Identify inverse matrices Solve matrix equations using inverses Trigonometry Convert between radians and degrees Radians and arc length Quadrants Co terminal and reference angles Find trigonometric ratios using right triangles Find trigonometric ratios using the unit circle Find trigonometric ratios using reference angles Inverses of trigonometric functions Solve trigonometric equations Trigonometric ratios: find a side length Trigonometric ratios: find an angle measure Solve a right triangle Law of Sines Law of Cosines Solve a triangle Area of a triangle: sine formula Area of a triangle: Heron's formula Trigonometric functions Find properties of sine functions Write equations of sine functions from graphs Write equations of sine functions using properties Graph sine functions Find properties of cosine functions Write equations of cosine functions from graphs Write equations of cosine functions using properties Graph cosine functions Graph sine and cosine functions Trigonometric identities Complementary angle identities Symmetry and periodicity of trigonometric functions Trigonometric identities I Trigonometric identities II Conic sections Find properties of parabolas Write equations of parabolas in vertex form Graph parabolas Find properties of circles Write equations of circles in standard form Graph circles Find properties of ellipses Find the eccentricity of an ellipse Write equations of ellipses in standard form Find properties of hyperbolas Find the eccentricity of a hyperbola Write equations of hyperbolas in standard form Convert equations of conic sections from general to standard form Add and subtract complex numbers Complex numbers Complex conjugates Multiply and divide complex numbers Add, subtract, multiply and divide complex numbers Powers of i Introduction to the Argand plane Argand plane Graph complex numbers Addition in the Argand plane Subtraction in the Argand plane Graph complex conjugates Absolute value in the Argand plane Midpoints in the Argand plane Distance in the Argand plane Polar form Find the modulus and argument of a complex number Convert complex numbers from rectangular to polar form Convert complex numbers from polar to rectangular form Convert complex numbers between rectangular and polar form Match polar equations and graphs Two-dimensional Find the magnitude of a vector Find the direction angle of a vector vectors Find the component form of a vector Find the component form of a vector from its magnitude and direction angle Find a unit vector Add and subtract vectors Multiply a vector by a scalar Find the magnitude or direction of a vector scalar multiple Find the magnitude and direction of a vector sum Linear combinations of vectors Graph a resultant vector using the triangle method Graph a resultant vector using the parallelogram method Three-dimensional vectors Find the magnitude of a three-dimensional vector Find a three-dimensional unit vector Add and subtract three-dimensional vectors Scalar multiples of three-dimensional vectors Linear combinations of three-dimensional vectors Find terms of a sequence Find terms of a recursive sequence Sequences and series Identify a sequence as explicit or recursive Find a recursive formula Find recursive and explicit formulas Convert a recursive formula to an explicit formula Convert an explicit formula to a recursive formula Introduction to sigma notation Identify arithmetic and geometric series Find the sum of a finite arithmetic or geometric series Introduction to partial sums Partial sums of arithmetic series Partial sums of geometric series Partial sums: mixed review Convergent and divergent geometric series Find the value of an infinite geometric series Write a repeating decimal as a fraction Continuity Identify graphs of continuous functions Determine continuity using graphs Determine one-sided continuity using graphs Find and analyse points of discontinuity using graphs Determine continuity on an interval using graphs Determine the continuity of a piecewise function at a point Make a piecewise function continuous Intermediate Value Theorem Introduction to derivatives Average rate of change I Average rate of change II Find instantaneous rates of change Velocity as a rate of change Find values of derivatives using limits Find the slope of a tangent line using limits Find equations of tangent lines using limits Derivative rules Sum and difference rules Product rule Power rule I Power rule II Chain rule Inverse function rule Find derivatives of polynomials Find derivatives of polynomials Find derivatives of rational functions Derivative strategies Find tangent lines using implicit differentiation Find derivatives using logarithmic differentiation Find higher derivatives of polynomials Calculate derivatives Find derivatives of trigonometric functions I Find derivatives of trigonometric functions II Find derivatives of exponential functions Find derivatives of logarithmic functions Find derivatives of inverse trigonometric functions Find derivatives of radical functions Find derivatives using the product rule I Find derivatives using the product rule II Find derivatives using the quotient rule I Find derivatives using the quotient rule II Find derivatives using the chain rule I Find derivatives using the chain rule II Find derivatives using implicit differentiation Calculate higher derivatives Find higher derivatives of rational and radical functions Find second derivatives of trigonometric, exponential and logarithmic functions Find higher derivatives using patterns Introduction to probability Probability Calculate probabilities of events Combinations and permutations Find probabilities using combinations and permutations Find probabilities using two-way frequency tables Identify independent events Find conditional probabilities Independence and conditional probability Find conditional probabilities using two-way frequency tables Identify discrete and continuous random variables Find probabilities using the addition rule Probability distributions Write a discrete probability distribution Graph a discrete probability distribution Expected values of random variables Variance of random variables Standard deviation of random variables Write the probability distribution for a game of chance Expected values for a game of chance Choose the better bet Find probabilities using the binomial distribution Mean, variance and standard deviation of binomial distributions Find probabilities using the normal distribution I Find probabilities using the normal distribution II Find z-values Find values of normal variables Distributions of sample means The Central Limit Theorem Use normal distributions to approximate binomial distributions Statistics Match correlation coefficients to scatter plots Calculate correlation coefficients Find the equation of a regression line Interpret regression lines Analyse a regression line using statistics of a data set