Syllabus
IB Higher Level Mathematics Year 2 20162017
Mr. Rawlings Course Description This is the second year of a twoyear course that is for students with a strong background in mathematics and who are competent in a wide range of analytical and technical skills. The majority of these students will be expecting to include mathematics as a major component of their university studies, either as a subject in its own right or within majors such as physics, engineering and technology. Others may take this subject because they have a strong interest in mathematics and enjoy meeting its challenges and engaging with its problems. IB Core Syllabus Topic 1: ALGEBRA · Sequences and Series · Exponents and Logarithms · Counting Principles/Binomial Theorem · Mathematical Induction · Complex Numbers/De Moivre’s Theorem Topic 2: FUNCTIONS AND EQUATIONS · Concept of Function · Graphs of Functions · Transformations · Solving and Graphing Quadratic Functions · Discriminant · Inequalities · Polynomial Functions Topic 3: CIRCULAR FUNCTIONS AND TRIGONOMETRY · The Unit Circle · Pythagorean Identities · Compound and Double Angle Identities · Graphs of Circular and Inverse Trigonometric Functions · Solving Trigonometric Equations · Law of Sines and Cosines Topic 4: VECTORS · Definition of a Vector · Operations on Vectors · Scalar Product · Vector Equation of a Line · Vector (Cross) Product · Vector and Cartesian Equations of a Plane · Intersections of: 2 lines, 2 planes, 3 planes, a line with a plane Topic 5: STATISTICS AND PROBABILITY · Analyzing and Presenting Data in Various Forms · Mean, Median, Mode, Quartiles, Percentiles · Cumulative Frequency · Terminology Associated with Probability · Probability of an Event · Conditional Probability · Using Venn Diagrams, Tree Diagrams, and Table to Solve Problems Topic 6: CALCULUS · Limits and Convergence · Definition of Derivative · Techniques of Differentiation · Maximums and Minimums · Indefinite Integration · AntiDifferentiation with a boundary condition · Definite Integrals · Area Under a Curve or Between Curves · Volumes of Revolution · Position, Velocity, and Acceleration · Graphing and the Significance of the Second Derivative · Implicit Differentiation · Integration by Parts and by Substitution · Separable Differential Equations Semester Grades A semester exam will be 20% of your semester grade. The remaining portion will be weighted as follows: Coursework (home and inclass) 25% (see rubric) Tests 75% Coursework The productive use of class time is an absolute requirement for us to be able to cover the curriculum. Your cooperation and commitment are essential not only for your success, but for the success of your classmates as well. Assignments must be completed in a timely manor. The major portion of your coursework grade is your ability to critically discuss your assignments with your peers and with your teacher. If you fall behind, it will be very difficult to participate in the necessary discussions. The amount of time you spend working at home is determined by your ability to stay caught up. Tests This portion of the grade will include all independently written assignments such unit tests, quizzes, and Internal Assessment. Each will be weighted according to their relative importance. Communication of Grades Grades will be periodically posted online. Please check your grades on a regular basis so that you are aware of your progress. I expect that both you and your parents are monitoring your grade online. Please alert me if you notice any inaccuracies. If your grade is not what you expect, communicating with me early and often is essential. Late and Missed Work See Coursework section above. Extra Help Please seek extra assistance when you are having difficulties. My planning periods are C, D, and G. If you need assistance at other times, I am usually available before or after school. Arranging a time in advance is best but not required. Don't be shy! My email address: arawlings@gcacegypt.org 

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