Chemistry Video

Ututor Professor Andrew is teaching High School Chemistry. 

Online class video

Online class - Ututor Professor Reza is instructing High School G10 English Reading and Writing.

Summer School Crash Courses

MCR3U Grade 11 - Functions

  

Chapter 1 Exponents and Surds (3h)

· Rational exponents and surds

· Solving surd equations

· Applications of exponentials

· Question bank

Chapter 2 Equations and Unqualifies (4h)

· Completing the square

· Quadratic formula

· Substitution

· Nature of roots

· Quadratic unqualifies

· Question bank

Chapter 3 Number Pattern (30mins)

· Quadratic sequence

· Chapter 4 Analytical Geometry (2h)

· Equation line

· Parallel lines

· Perpendicular lines

· Questions line

Chapter 5 Functions (4h)

· Quadratic functions

· Average gradient

· Hyperbole functions

· Exponential functions

· Sine function

· Cosine function

· Tangent function

· Question bank

Chapter 6 Trigonometry (2h)

· Trigonometric identities

· Trigonometric equalities

· Area, sine and cosine rule

· Question bank

Chapter 7 Measure (2h)

· Area of a polygon

· Prisms and cylinder 

· Cones and sphere, right pyramids

· Constant factor of dimension

Chapter 8 Euclidean Geometry (30mins)

· Circle geometry

Chapter 9 Finale, Growth and Decay 

· Sample and compound depreciation

· Nominal and effective interest rates

· Question bank

Chapter 10 Probability (2h)

· Dependent and independent events

· Venn diagrams

· Tree diagrams

· Contingency table

· Question bank

Chapter 11 Statistic (2h)

· Histograms

· Variance and standard deviation

· Symmetric and skewed data

· Identification of outlines

· Question bank

MHF4U Grade 12 - Advanced Functions

Chapter 1 Function (30min-45min each session and 1h question bank, total 5h)

· Definition of function

· Absolute Value function

· Property of function (domain and range)

· Sketch graph of function

· Definition of inverse function and plotting

· Concept of piecewise function

· Questions Bank

Chapter 2 Rate of Change (30min each session and 30 min questions bank, total 2h)

· Concept of average rate of change

· Estimating Instantaneous Rate of Change

· Using graph exploring Instantaneous Rate of change

· Question Bank

Chapter 3 Polynomial Functions (30min each session, 1h questions bank, total 4 h)

· Concept of Polynomial Functions

· Characteristics of Polynomial Functions

· Factored Form of Polynomial Functions

· Transformations of Cubic and Quartic Functions

· Dividing Polynomials-Long division

· Factoring Polynomials (High Orders)

· Question Bank

Chapter 4 Polynomial Equations and Inequalities (30-45min each session, 1h question bank, total 3h)

· Solving Polynomial Equations

· Solving Linear Inequalities

· Solving Polynomial Inequalities

· Rates of Change in Polynomial Functions

· Question Bank

Chapter 5 Rational Functions, Equations and Inequalities (30min each session, 1h question bank, total 4h)

· Reciprocal Function and plotting

· Quotients of Polynomial Functions and plotting

· Rational Functions and plotting (domain and range)

· Solving Rational Functions

· Solving Rational Inequalities

· Rational Functions Rate of Change

· Question Bank

Chapter 6 Trigonometric Function 30min each session, 1h question bank, total 4h)

· Concept of Radian

· Radian Measure on Cartesian Plane

· Primary Trigonometric Functions and plotting

· Transformations of Trigonometric Functions

· Reciprocal Trigonometric Functions and plotting (15 min)

· Modelling with Trigonometric Functions

· Rates of Change in Trigonometric Functions

· Question Bank

Chapter 7 Trigonometric Identities and Equations (30-45min each session, 1h question bank, total 4h)

· Expansion trigonometric functions 0-90 degree to 0-360 degree

· Compound Angle Formulas (Double Angle Formulas)

· Trigonometric Identities

· Solving Linear Trigonometric Equations

· Solving Quadratic Trigonometric Equations

· Question Bank

Chapter 8 Exponential and Logarithmic Functions (30min each session, 1h question bank, total 4h)

· Exploring the logarithmic Function (15min)

· Transformations of Logarithmic Functions

· Evaluating Logarithms

· Law of Logarithms

· Solving Exponential Equations

· Solving Logarithmic Equations

· Application questions relative Exponential and Logarithmic Functions

· Rates of Change in Exponential and Logarithmic Functions

· Question Bank

Chapter 9 Combinations of Functions (30min each session, 1h question function, total 2h)

· Concept of Combination of Functions

· Combining Two Functions: Sums and Differences

· Combining Two Functions Product

· Exploring Quotients of Functions

· Question Bank

MCV4U Grade 12 - Calculus and Vectors

  

Chapter 1 Introduction to Calculus: Limits (4h)

· Radical Expressions: Rationalizing Denominators

· The Slope of Tangent Line

· Rate of Change

· Mid-Chapter Review

· The Limit of a Function

· Properties of Limits

· Continuity

· Question Bank

Chapter 2 Derivative Rules (4h)

· Derivative Function. First Principle

· Power Rule. Derivative of Polynomial Functions

· Power Rule Power, Sum/Difference Rules 

· Product Rule 

· Mid-Chapter Review

· Quotient Rule 

· Chain Rule

· Tangent and Normal Line

· Question Bank

Chapter 3 Applications of Derivatives (2h)

· Higher Order Derivatives. Velocity and Acceleration

· Minimum and Maximum on an Interval. Global Extrema

· Optimization

· Question Bank

Chapter 4 Applications of Derivatives (3h)

· Increasing and Decreasing Functions

· Critical Points. Local Extrema

· Asymptotes

· Mid Chapter Review

· Concavity and Points of Inflection

· Curve Sketching

· Question Bank

Chapter 5 Transcedental Functions and Optimization (3.5h)

· Exponential Functions

· Logarithmic Functions

· Trigonometric Functions

· Optimization

· Question Bank

Chapter 6 Vectors (3.5h)

· Vector Addition and Subtraction 

· Multiplication of a Vector by a Scalar 

· Properties of Vectors 

· Vectors in R2 and R3 

· Operations with Vectors in R2 

· Operations with Vectors in R3 

· Question Bank

Chapter 7 Applications of Vectors (4h)

· Vectors as Forces

· Velocity 

· Dot Product of two Geometric Vectors 

· Notes 2010 | Handout | PowerPointShow 

· Dot Product of Algebraic Vectors 

· Scalar and Vector Projections 

· Cross Product of two Vectors 

· Applications of the Dot and Cross Products

· Question Bank

Chapter 8 Equations of Lines and Planes (3h)

· Vector and Parametric Equations of a line in R2 

· Cartesian Equation of a Line 

· Vector, Parametric, and Symmetric Equations of a Line in R3 

· Vector and Parametric Equations of a Plane

· Cartesian Equation of a Plane

· Question Bank

Chapter 9 Relationships between Points, Lines, and Planes (3h)

· Intersection of two Lines 

· Intersection of a Line with a Plane

· Intersection of two Planes

· Intersection of three Planes

· Distance from a Point to a Line 

· Distance from a Point to a Plane

· Question Bank

SPH3U Grade 11 - Physics

  

Chapter 1 Motion in a Straight Line (2h)

· Distance, position and displacement

· Speed and velocity

· Acceleration

· Question bank

Chapter 2 Motion in two Dimensions (1.5h)

· Motion in two dimensions (scale diagram approach)

· Motion in two dimensions (algebraic approach)

· Projectile motion

· Question bank

Chapter 3 Newton’s Law’s of Motion (1.5h)

· Types of forces

· Newton’s first law of motion

· Newton’s second law of motion

· Newton’s third law of motion

· Application of Newton’s Law

· Question bank

Chapter 4 Application of Forces (2h)

· Gravitational force near earth

· Friction

· Friction problem questions

· Question bank

Chapter 5 Work, Energy, Power (2.5h)

· Work

· Energy

· Type of energy

· Law of conservation of energy

· Efficiency, energy source, energy conservation

· Power

· Question bank

Chapter 6 Thermal Energy

· Heat

· Heat capacity

· States of matter and change of states

· Question bank

Chapter 7 Nuclear Energy (30mins)

· Radioactive decay

· Half – life

Chapter 8 Vibration and Waves (1h)

· Vibration

· Types of mechanical wave

· Wave characteristics

· Wave speed

· Properties of sound waves

Chapter 9 Wave Interaction (1.5h)

· Interference of wave

· Waves at media boundaries

· Damping and resonance

· Doppler effect

· Question bank

Chapter 10 Application of waves (30mins)

· Human Hearing

· Acoustics

· Vibration in aircraft

· Nature and sound wave

Chapter 11 Electricity (2.5h)

· Electrical energy and power plants

· Electric potential difference

· Electric current

· Kirchhoff’s Law

· Electrical resistance

· Resistors on circuits

· Circuits analysis

· Question bank

Chapter 12 Electromagnetism (1h)

· Magnetic field

· Motor principle 

· DC Motor

Chapter 13 Electromagnetic Induction (2h)

· Electromagnetic induction

· Lenz’s Law

· Alternating current

· Electricity Generation

· Transformers

· Question bank