I joined the gym one month ago

I joined the gym one month ago. My budget does not allow PT so I am doing exercise based on suggestions of the common trainer. Now I have learned equipment names and a few exercises. My gym's trainers don't focus much on the core. I have to pull that one. I have noted my last week's routine.

I would like to have your suggestions.

1. Back

• Chin Ups Machine 12 Rep * 2
• Pull Ups(Chin Dip Assist Machine) 12 Reps * 2
• Seated Row Machine 12Reps * 4
• Pull Down Leverage Machine 12 Reps * 4
• V-Group Lat Pull Down with Crossover machine 12 * 4
• Reverse Grip Back Row machine 12 * 3

2. Biceps

• Straight Dumbbell 12 Rep * 4
• Hammer Dumbbell 12Reps, 10 Reps, 10 Reps, 8 Reps
• Reverse Grip Cable Curls 12 Reps, 10 Reps, 10 Reps, 8 Reps
• Rope Cable Biceps Curls 12 Reps, 10 Reps, 10 Reps, 8 Reps
• Cumber Curl Machine 12 Reps, 8 Reps, 8 Reps, 6 Reps
• Abs Crunch Machine 30 Reps, 20 Reps

3. Chest

• Push Ups 15 Reps, 12 Reps, 10 Reps, 5 Reps, 5 Reps
• Bench Press 12 Reps, 12 Reps, 10 Reps, 6 Reps, 5 Reps
• Incline Bench Press 12 Reps, 12 Reps, 8 Reps, 8 Reps
• Butter Fly 12 Reps, 12 Reps, 8 Reps, 4 Reps, 4 Reps
• Dumbbell Pullover 12 Reps, 12 Reps, 10 Reps, 10 Reps

4. Tricpes

• Diamond Pushup 15 Reps, 11 Reps, 10 Reps, 5 Reps, 5 Reps
• Rope Triceps Extension 12 Reps, 12 Reps, 12 Reps, 12 Reps, 8 Reps
• Triceps Pushdown with cable and straight bar 12 Reps, 12 Reps, 12 Reps, 10 Reps
• Over Head Dumbbell single hand 12 Reps * 4
• Over Head Dumbbell both hands 12Reps, 10 Reps, 8 Reps, 8 Reps
• Bench Dip 14Reps, 12 Reps, 10 Reps, 10 Reps

5. Legs/Core

• Squats 12 Reps * 4
• Smith Machine Squats 12 * 3
• Leg Extension Machine 12Reps * 4
• Crunches(open hand) 12*4
• Abs Crunch Machine 20 Reps * 4
• Roller Coaster 20Reps * 4
• Plank 1.5 Mins, .5 Mins, .5 Mins