- Published on
Explore the fundamental applications of calculus to mechanics, covering kinematics, kinetics, Newton's laws of motion, and advanced problem-solving techniques.
Calculus
All Posts
- hsc-maths (45)
- hsc (39)
- mathematics-extension-2 (39)
- extension-2 (30)
- calculus (23)
- mechanics (19)
- complex-numbers (18)
- extension-1 (18)
- geometry (16)
- vectors (14)
- integration (14)
- syllabus (14)
- year-12 (11)
- proof (11)
- algebra (10)
- proofs (7)
- inequalities (7)
- trigonometry (6)
- hsc-maths-extension-2 (6)
- physics (6)
- revision (5)
- kinematics (5)
- year-11 (5)
- glossary (5)
- polynomials (4)
- hsc-maths-extension-1 (4)
- logic (4)
- applications (3)
- induction (3)
- statistics (2)
- syllabus-guide (2)
- differential-equations (2)
- projectiles (2)
- simple-harmonic-motion (2)
- functions (2)
- course-structure (1)
- mathematics (1)
- rates-of-change (1)
- probability (1)
- binomial-theorem (1)
- integrals (1)
- grade-scale (1)
- performance-bands (1)
- learning-outcomes (1)
- combinatorics (1)
- course-aim (1)
- nsw (1)
- graphing (1)
- newtons-laws (1)
- 3d-vectors (1)
- partial-fractions (1)
- mathematical-induction (1)
- parametric-equations (1)
- Published on
Master the advanced techniques of integration in the HSC Mathematics Extension 2 syllabus, including integration by parts, partial fractions, recurrence relations, and clever substitutions.- Published on
From proving inequalities to modelling fluid dynamics and signal processing, integration is the engine of applied mathematics.- Published on
Learn why algebraic manipulation, expanding surds, and mastering index laws are mandatory first steps before you can even begin to integrate.- Published on
Discover how the product rule for differentiation gives rise to integration by parts, and how this technique is used in advanced statistics.