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Mathematics

PPC101Pre-Calculus I

Syllabus outline

  1. Algebraic expressions, exponents and radicals
  2. Polynomials and factoring
  3. Functions, their graphs and mathematical models
  4. Linear, absolute-value and quadratic equations
  5. Polynomial, rational and radical equations
  6. Systems of linear and nonlinear equations

PPC101 tutoring and syllabus

PPC112Pre-Calculus II

Syllabus outline

  1. Exponential functions and growth models
  2. Logarithmic functions, properties and equations
  3. Angles, radians and the unit circle
  4. Trigonometric functions and their graphs
  5. Inverse trigonometric functions
  6. Trigonometric identities and equations
  7. Laws of sines and cosines
  8. Polar coordinates and graphs

PPC112 tutoring and syllabus

MAT101Calculus I

Syllabus outline

  1. Graphs, models, functions and trigonometry review
  2. Limits, continuity and one-sided limits
  3. Derivatives, tangent lines and rates of change
  4. Product, quotient and chain rules
  5. Implicit differentiation
  6. Rolle’s theorem and the Mean Value Theorem
  7. Extrema, concavity and optimization
  8. Antiderivatives, definite integrals and the Fundamental Theorem of Calculus
  9. Integration by substitution

MAT101 tutoring and syllabus

MAT112Calculus II

Syllabus outline

  1. Integration by parts
  2. Curves defined by parametric equations
  3. Sequences and sequence limits

MAT112 tutoring and syllabus

Physics

PPHYE101Preparatory Physics I

Syllabus outline

  1. Units, measurement and dimensional analysis
  2. Vectors and one-dimensional motion
  3. Two-dimensional motion
  4. Newton’s laws, forces and friction
  5. Work, energy and conservation of energy
  6. Momentum, impulse and collisions
  7. Circular motion and gravitation
  8. Torque, equilibrium and rotational dynamics

PPHYE101 tutoring and syllabus

PPHYE112Preparatory Physics II

Syllabus outline

  1. Electric charge, Coulomb’s law and electric fields
  2. Electric flux and Gauss’s law
  3. Electric potential, capacitance and dielectrics
  4. Current, resistance, Ohm’s law and power
  5. DC circuits, Kirchhoff’s laws and RC circuits
  6. Magnetic fields, forces and Ampère’s law
  7. Electromagnetic induction, Faraday’s and Lenz’s laws
  8. Inductance, AC circuits, resonance and transformers

PPHYE112 tutoring and syllabus

PHU103Mechanics & Waves for Engineers

Syllabus outline

  1. Units, physical quantities and vectors
  2. Motion in one, two and three dimensions
  3. Newton’s laws and applications
  4. Work, kinetic energy and energy conservation
  5. Momentum, impulse and collisions
  6. Rigid-body rotation and rotational dynamics
  7. Gravitation
  8. Periodic motion
  9. Mechanical waves

PHU103 tutoring and syllabus

PHU124Electromagnetism & Waves for Engineers

Syllabus outline

  1. Coulomb’s law and electric fields
  2. Gauss’s law and electric potential
  3. Capacitance
  4. Current, resistance and circuits
  5. Magnetic fields and fields due to currents
  6. Induction and inductance
  7. Electromagnetic oscillations and alternating current
  8. Maxwell’s equations and magnetism of matter
  9. Electromagnetic waves

PHU124 tutoring and syllabus

PPHYM112Physics for Medicine

Syllabus outline

  1. Measurement, dimensional analysis and physical models
  2. Kinematics and physiological detection of motion
  3. Forces, equilibrium and Newton’s laws
  4. Center of mass, momentum, torque and body levers
  5. Work, energy and power in the human body
  6. Gas laws, body pressure and breathing
  7. Heat, thermodynamics and the respiratory system
  8. Electric forces, fields and potential
  9. Nerves, membrane capacitance, defibrillators and current

PPHYM112 tutoring and syllabus

Chemistry

PCHE101Preparatory Chemistry I

Syllabus outline

  1. Matter and energy
  2. Atoms, ions and the periodic table
  3. Chemical compounds
  4. Chemical composition
  5. Electron structure of the atom
  6. Chemical bonding
  7. Introduction to organic chemistry

PCHE101 tutoring and syllabus

PCHE112Preparatory Chemistry II

Syllabus outline

  1. Chemical reactions and equations
  2. Quantities in chemical reactions
  3. The gaseous state
  4. Liquid and solid states
  5. Reaction rates and chemical equilibrium
  6. Acids and bases
  7. Oxidation–reduction reactions

PCHE112 tutoring and syllabus

CHM102Chemistry

Syllabus outline

  1. Measurement and properties of matter
  2. Atomic structure, ions, molecules and compound naming
  3. Mass relationships in chemical reactions

CHM102 tutoring and syllabus

Life sciences

PHSF101Human Structure & Function I

Syllabus outline

  1. Cell anatomy and physiology
  2. Membrane transport and cell division
  3. Body tissues
  4. Anatomical terminology, structural organization and homeostasis
  5. Skin and body membranes
  6. The skeletal system
  7. The muscular system
  8. The nervous system

PHSF101 tutoring and syllabus

PHSF112Human Structure & Function II

Syllabus outline

  1. Blood
  2. The lymphatic system and body defenses
  3. The cardiovascular system
  4. The respiratory system
  5. The urinary system
  6. The digestive system
  7. The endocrine system
  8. The reproductive system

PHSF112 tutoring and syllabus

PBIO112Biochemistry

Syllabus outline

  1. Molecular chirality
  2. Carbohydrates and lipids
  3. Proteins and enzymes
  4. Neurotransmitters and hormones
  5. Nucleotides, nucleic acids and heredity
  6. Gene expression and protein synthesis
  7. Bioenergetics
  8. Carbohydrate, lipid and protein metabolism
  9. Biosynthetic pathways and immunochemistry

PBIO112 tutoring and syllabus

Physics labs

PHU103LPhysics Laboratory I

Syllabus outline

  1. Graphing with Excel and percentage error
  2. Density measurements
  3. Free fall and projectile motion
  4. Atwood’s machine
  5. Friction coefficients
  6. Conservation of momentum
  7. Centripetal force
  8. Conservation of angular momentum
  9. Spring constant
  10. Resonance in strings

PHU103L tutoring and syllabus

PHU124LPhysics Laboratory II

Syllabus outline

  1. Electric force and Coulomb’s law
  2. Electric field mapping
  3. Capacitance
  4. Voltage dividers and Ohm’s law
  5. RC circuits
  6. Magnetic fields of coils
  7. Faraday’s law of induction
  8. Capacitors in AC circuits
  9. Reflection and refraction

PHU124L tutoring and syllabus

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