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Important Chemical Reactions

Displacement Reactions and Net Ionic Reactions
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SAT Math Exam

Date of Exam.

The SAT subject tests are offered in Oct, Nov, Dec, Jan, May and June every year. For 2011, the test dates are May 7, 2011, Jun 4, 2011 .

The Exam

Levels. The SAT Math exam is conducted for two levels, Level I and Level II.

Format of the Test:-The test comprises 50 multiple choice questions.The tests cover content typically taught in the first three years [For Level 1] or four years [For Level 2] of college-preparatory mathematics

Use of Calculators:-
  • Both tests are developed with the expectation that most students are using graphing calculators. Calculators are premitted in both the exams. For 40-50% of the questions on Level 1 and 55-65% of the questions on Level 2, a calculator may be useful or necessary.
  • No substitute calculators or batteries will be available at the test centre. Students may not share calculators.
However the following are not permitted:
  • Power Books and Portable Computers
  • Electronic Writing Pads or Pen-Input/Stylus-Driven Devices (e.g., Palm, PDAs, Casio ClassPad300)
  • Models With QWERTY [i.e. Typewriter] and Keypads [e.g. Ti-92, Voyage 200]
Study Packages

The study packages for SAT Math Exam have been designed to cover the complete SAT syllabus for Math. The package can be customized as per your requirements.

Diagnostic Test. The students are first put through a diagnostic test to assess their strengths and areas where they may need greater emphsis.

Study Material.I use the relevant study material for SAT Math Exam for comprehension of the subject in detail. I use my own presentations which have been prepared keeping the requirements of the students in mind.

Study Topics.Thestudy topicswhich are covered in the SAT Math exam for level 1 and level 2 have been given out below.


Atomic Structure
Quiz on Atomic Structure
  1. Chemical and Physical means Atomic masses
    • Chemical and Physical
    • Chemical and Physical
  2. Electron energy levels means Atomic masses
    • Chemical and Physical
    • Chemical and Physical
  3. Electron energy levels means Atomic masses
    • Chemical and Physical
    • Chemical and Physical
Study Topics: AP Calculus- BC
A.Functions, Graphs and Limits
A.1Analysis of Graphs
A.1.1 Geometric and Analytic Analysis of Graphs of Different Functions
A.1.2 Prediction and Explanation of Local and Global Behaviour of a Function by using both Geometric and Analytic and Calculus
A.2Limits of Functions [Including One-Sided Limits]
A.2.1 Solving the Limits of a function using Algebra
A.2.2 Estimating Limits from Graphs
A.3Asymptotic and Unbounded Behaviour of Graphs
A.3.1 Concept of Asymptotes as a Graphical Behaviour
A.3.2 Describing Asymptotic Behavior in terms of Limits Involving Infinity
A.3.3 Comparing Relative Magnitudes of Functions and their Rates of Change
A.4Continuity
A.4.1 Continuous Function and Concept of Continuity
A.4.2 Continuity in terms of Limits [Right Hand Limit and Left Hand Limit]
A.4.3 Graphical Representation of Continuous Functions
A.4.4 Intermediate Value Theorem and Extreme Value Theorem
A.5 Parametric, Polar and Vector Functions
A.5.1 Analysis of Planar Curves given in Parametric, Polar and Vector.
B.Derivatives
B.1Concept of the Derivative
B.1.1 Graphical, Numerical and Analytical concept of Differentiation
B.1.2 Instantaneous Rate of Change
B.1.3 Derivative as the Limit of the Difference Quotient [First Principle Method]
B.1.4 Relationship between Differentiability and Continuity
B.2 Derivative at a Point
B.2.1 Slope of a Curve at a Point [Points having Vertical Tangents and No Tangents]
B.2.2 Tangent Line to a Curve at a Point and Local Linear Approximation
B.2.3 Instantaneous Rate of Change as the Limit of Average Rate of Change
B.2.4 Approximate Rate of Change from Graphs
B.3Derivative as a Function
B.3.1 Corresponding Characteristics of Graphs of ƒ and ƒ'

B.3.2 Relationship between the Increasing and Decreasing behavior of ƒ and the sign of ƒ'

B.3.3 The Mean Value Theorem and its Geometric Interpretation
B.3.4 Equations Involving Derivatives
B.3.5 Verbal Descriptions Translation into Equations Involving Derivatives and vice versa
B.4Second Derivatives
B.4.1 Corresponding Characteristics of the graphs of ƒ , ƒ' and ƒ''

B.4.2 Relationship between the Concavity of ƒ and the Sign of ƒ''

B.4.3 Points of Inflection as Places where Concavity Changes
B.5 Applications of Derivatives
B.5.1 Analysis of Curves
B.5.2 Planar Curves Analysis [in Parametric, Polar and Vector Form including Velocity and Acceleration]
B.5.3 Optimization both Absolute/Global and Relative/Local Extrema
B.5.4 Modelling Rtes of Change [including related rates problems]
B.5.5 Implicit Differentiation for differentiating an inverse function
B.5.6 Derivation as a rate of change [velocity and acceleration]
B.5.7 Geometric Interpretation of Differential Equations [including curves]
B.5.8 Differential Equations Solution using Euler's Method
B.5.9 L'Hospital's Rule [usage in determining Limits and Convergence of Improper Integrals and Series]
B.6Computation of Derivatives
B.6.1 Differentiation of functions[for example basic functions, including power, exponential, logarithmic, trigonometric and inverse trigonometric functions ]
B.6.2 Basic Differentiating Rules [Sums, Products and Quotients Rules]
B.6.3 Chain Rule and Implicit Differentiation
B.6.4 Derivative of Parametric, Polar and Vector functions
C.Integration
C.1Interpretations and Properties of Definite Integrals
C.1.1 Basic Properties of Definite Integral.
C.1.2 Definite Integral as a limit of Riemann Sums.
C.1.3 Definite Integral of the Rate of Change of a Quantity over an Interval Interpreted as the Change of the quantity over that Interval [Including Additivity and Linearity].
C.2Applications of Integrals
C.2.1 Basic Application Models of Integral.
C.2.2 Approximation Method [Riemann Sums].
C.2.3 Concept of Some Basic Applications [Area of a Region, Volume of a Solid with known cross-sections, Average Value of a Function, Distance Travelled by a Particle along a line and Accumulated Change from a Rate of Change].
C.3Fundamental Theorem of Calculus
C.3.1 Using of Fundamental Theorem to Evaluate Definite Integrals.
C.3.2 Using of Fundamental Theorem to Represent and Analyze a Particular Anti-Derivative Analytically and Graphically.
C.4Techniques of Anti-Differentiation
C.4.1 Anti-Differentiation directly from Derivatives of basic Functions
C.4.2 Anti-Differentiation by using Substitution Technique [accompanied with Changing of Limits in the case of Definite Integral], By-Parts and Simple Fraction [for non-repeating linear factors.]
C.4.3 Differentiation of a Basic Function followed by its respective Anti-Differentiation
C.4.4 Improper Integrals
C.5 Applications of Anti-Differentiation
C.5.1 Anti-Differentiation of functions given with some Initial Condition[Study of motion Along a Line].
C.5.2 Separable Differential Equations
C.5.3 Study of the Equations related to Exponential Growth.
C.5.4 Logistic Differential Equations and using them in Modelling.
C.6Numerical Approximation of Definite Integrals
C.6.1 Use of Riemann Sum Approximation Equation [Left, Right and Midpoint Evaluation Points]
C.6.2 Use of T rapezoidal Sums Approximation Equation for Definite Integrals of Functions represented Algebraically, Graphically and from Tabulated Values
D.Polynomial Approximations and Series
D.1Concept of Series
D.1.1 Sequence of Partial Sums and Concept of Convergence
D.1.2 Convergence and Divergence Series
D.2Series of Constants
D.2.1 Decimal Expansion
D.2.2 Arithmetic, Geometric and Harmonic Series with Applications
D.2.3 Alternating Series with Error Bound.
D.2.4 Series as Areas of Rectangles and their Relationship to Improper Integrals [including the Integral Test for the convergence of p -series].
D.2.5 Ratio Test for Convergence and Divergence.
D.2.6 Comparing Series to test for convergence or divergence.
D.3Taylor Series
D.3.1 Taylor Polynomial Approximation [including Graphical Demonstration of Convergence]
D.3.2 Maclaurin Series and the General Taylor Series centered at x = a .
D.3.3 Maclaurin Series for the Different Functions such as e x , sin x , cos x , and 1/[1-x]
D.3.4 Formal Manipulation of Taylor Series and Shortcuts to compute Taylor Series[including Substitution, Differentiation, Anti-differentiation and the formation of new series from known series]
D.3.5 Functions defined by Power Series
D.3.6 Radius and Interval of Convergence of Power Series
D.3.7 Lagrange Error Bound for Ta

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