30 days calculus study plan

Day 1: Review basic algebra and trigonometry concepts Day 2: Limits and continuity Day 3: Derivatives and differentiation rules Day 4: Applications of differentiation (optimization and related rates) Day 5: Antiderivatives and indefinite integrals Day 6: Definite integrals and the fundamental theorem of calculus Day 7: Techniques of integration (substitution and integration by parts) Day 8: Integration of trigonometric functions Day 9: Integration of exponential and logarithmic functions Day 10: Applications of integration (area, volume, and average value) Day 11: Differential equations (separation of variables) Day 12: Differential equations (first-order linear) Day 13: Differential equations (higher-order linear with constant coefficients) Day 14: Series (convergence tests) Day 15: Power series and Taylor series Day 16: Sequences and series (ratio and root tests) Day 17: Sequences and series (alternating series and absolute convergence) Day 18: Sequences and series (Maclaurin series) Day 19: Parametric equations and polar coordinates Day 20: Vectors (magnitude, direction, and dot product) Day 21: Vectors (cross product and vector-valued functions) Day 22: Partial derivatives and multivariable functions Day 23: Chain rule and implicit differentiation Day 24: Directional derivatives and gradients Day 25: Optimization with multivariable functions Day 26: Lagrange multipliers Day 27: Multiple integration (double integrals) Day 28: Multiple integration (triple integrals) Day 29: Vector calculus (line integrals) Day 30: Vector calculus (surface integrals and divergence theorem)