XSIQ Interact High School Advanced Math

Platform: MAC, WINWinMacMedia: CDGrade:10-12

XSIQ Interact High School Advanced Math
Part#EditionPriceJust a Spacer Image
10051536Single$29.95
10051537Network/UNL$300.00
10051539Student Home Use License$300.00
Please Note: Pricing and availability are subject to change without notice.



interact™ Advanced Mathematics provides a new approach to teaching and learning mathematics at an advanced level through the use of interactive digital media including animated sequences and videos. This informative program leads students through over 40 mathematics topic areas and includes hints on exam techniques and practice exam questions.

Topic List:


Vectors in Two and Three Dimensions:
  • Position vectors
  • Parallel vectors
  • Linear dependence and independence
  • Equal vectors
  • The Cartesian Plane
  • Scalar (or dot) product
  • Scalar and vector resolutes
  • Using the dot product in vector proofs

Circular Functions (Trigonometry):
  • Exact values
  • Symmetry and periodicity
  • Reciprocal circular functions (sec x, cosec x, cot x)
  • Inverse circular functions
  • Trigonometric identities

Co-ordinate Geometry:
  • Sketching graphs
  • Graphs of reciprocal functions
  • Graphs of ellipses
  • Graphs of hyperbolae
  • Complex Numbers Topics:
  • Operations with complex numbers
  • Argand diagrams
  • Polar form
  • De'Moivres theorem
  • Solution of polynomial equations
  • The fundamental theorem of algebra
  • Equations of the form zn-a=0
  • Relations and regions in the complex plane

Calculus - Differentiation:
  • Procuct, quotient and chain rules
  • Derivatives of inverse circular functions

Calculus - Antidifferentiation:
  • Standard antiderivatives
  • Relationship between graphs of functions and their antiderivatives

Calculus:
  • Second derivatives
  • Differential equations
  • Verifying solutions
  • Rates of change
  • First order differential equations
  • Second order differential equations
  • Using differential equations
  • Examples using differential equations
  • Euler's method for solution of differential equations

Kinematics:
  • Solving differential equations for rectilinear motion
  • Constant acceleration
  • Velocity time graphs

Vector Calculus:
  • Position vectors as a function of time
  • Differentiation and antidifferentiation of vectors

Dynamics:
  • Forces
  • Newton's laws of motion
  • Resolution of forces
  • Basic equation of motion
  • Connected masses
  • Motion under a constant force
  • Motion under a variable force
  • Momentum and impulse
  • Statics

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